Make sure your hammock is 11 feet long in order to be able to get a good diagonal lay. (I feel almost silly giving this advice, but an insane percentage of the hammocks on the market are only 9.5 feet long.)
I had a Dutchware Chameleon that I loved, but alas my dog scrambling to get out of the hammock to greet someone ripped it... If you want a backpacking hammock that is fairly lightweight and modular, I highly recommend it (as long as you're not in the habit of snuggling with a big dumb lab in your hammock 😛). However, I think it costs about $165 for the hammock and bug net, so it's definitely an investment.
A shockingly good alternative is available by a company called Ridge Outdoors on Amazon -- it's what I replaced my Chameleon with after The Incident. It isn't as lightweight as the Chameleon, but it is both comfy and sturdy enough that my dog has poked a couple of claw holes but none of them has ripped further 😀 There's a $65 version where the net is completely removable, and a $50 version where the net just unzips on one side.
I've been using their non-camping hammock (no bug net or zipper) every night in my house for the last 10 months or so, along with their underquilt, and I really like both products 😀 The underquilt is synthetic, so the weight/warmth ratio probably isn't good enough for backpacking, but it is shaped far better than the other sub-$100 underquilts I've looked at, and for car camping above 45˚ it would be great.
https://www.amazon.com/dp/B07P1NWGL4/ref=cm_sw_r_cp_apap_uj2rCMtPDPg9i
This is my new hammock this season and it's been great. I have heard the suspension is stretchy butnstill functional, I swapped mine for cinch buckles and ratchet straps which you could also do in your budget.
Edit: looks like this isn't available anymore. There are other hammocks of similar design out there, try to find something 11 foot long.
https://www.amazon.com/dp/B003WH7N7Q/ref=cm_sw_r_cp_apa_i_srJ-EbKXJ0DJ9
I used a tarp like this my first year and it's more than adequate. Additionally if you do upgrade your tarp at some point a good simple heavy duty tarp is always useful.
For that price I think you are going to have a hard time getting both a tarp and a hammock. I would suggest starting with something like the onewind you already mentioned, or the Pinnacle 360. For a 11 ft hammock with a bugnet, I don't know of anything cheaper. Then use a cheap blue tarp or something, until you can save up for a proper tarp.
How tall are you, and how much room do you have? I'm 5'7", and I can be comfortable in a 10 foot hammock in one of those 9 foot long stands, but I'm a bit *more* comfortable in my 11 foot hammock, which doesn't work with those stands.
Do you have trees in your backyard so you can experiment with whether you enjoy the hammock before you spend a lot of money on a stand? Or maybe you could go on a camping trip? All the hammocks I'm recommending come with tree straps, so you could order the hammock first and give it a try outdoors before you spend any more money. Worst case scenario, even if you don't like sleeping in it overnight, you'd end up with a hammock for lounging around in 😀
If you're on the short side, and on a budget, a 9 foot long stand like this one ($75) will work. I've got one that I use when I travel. You'll probably want a shorter hammock with it, like this WINNER OUTFITTERS Double Camping Hammock ($29).
If you're taller and have room for a larger stand, I can recommend the Gold Armor Camping Hammock (currently $32) for indoor use (I used one for a year before my dog tore a big hole in it with his claws!) If you might want to go camping too, you could purchase the Ridge Outdoor Camping Hammock (currently $65) which has a mosquito net. It's very comfortable and is what I'm sleeping in now (though I zipped the net off for indoor use 😆)
If you have the room and the budget, a "turtledog" style stand with tripods (or... quadpods?) on each end gives a comfortable hang for a longer hammock with no need for external attachment points. They pack a lot smaller than the 9 foot steel stands, and you can also kind of "half pack" them by collapsing the tripods and leaning it against the wall when you're not using it. There are 2 commercial versions: the Eno Nomad ($250) and the Tato Gear stand ($350). If you're up for some DIY, Tato makes a DIY kit ($150) that has all the hinges and you just supply the poles. Or you can go whole hog and make your own (you'll have to make a free account to see the photos).
If you do end up sleeping full time in a hammock, unless you live somewhere very warm, or you tend to sleep very warm, you're going to want an underquilt. For indoor use and car camping in mild weather, the OneTigris Twilight Trekker ($65) would probably be fine. If you might want to go backpacking, you'll want a down underquilt, as they pack smaller and weigh a lot less for the same warmth. I love my HammockGear Economy Incubator ($140) -- I pair it with one of their Burrow top quilts and it's like sleeping in a snuggly warm cloud 😆
One of the nice things about sleeping in a hammock is that once you've got your hanging situation figured out (I use L Track screwed into my wall studs, but it sounds like that's not a possibility for you), the hammock is the cheap bit. You can experiment with different materials and add a structural ridgeline to your hammock to adjust things a bit, and if you spill a beverage all over yourself you can just throw the whole thing in the washing machine (try doing *that* with a mattress!!!).
I haven't gotten a chance to use it yet but I bought this one.
Seems decent quality and well equipped for the price. Someone in another post said they had reached out to the company and got a swift response from the CEO so that's always.