https://www.amazon.com/Joystick-PlayStation-Fighting-Officially-Licensed-4/dp/B01I0GEDEY
80$ so bit higher than you want but its easy even with no knowledge to open up and replace parts if something does go wrong
I have a qanba carbon which is same parts as it and made excellent entry stick bit it doesn't support PS4 but the sticks are very comparable so I do recommend that one
Qanba drone is $60 on Amazon right now-
https://www.amazon.com/Qanba-Drone-PlayStation-4/dp/B01I0GEDEY
If you only plan to play on PC, you can pick up a Qanba Carbon for only $60 new. The Qanba Drone is PS4/PC compatible for only $68 right now
If you want a budget option that'll hold up you can get a qanba drone from Amazon for $56, it's great to learn on if you're just starting out, and after swapping out the stock lever for a jlf and the buttons you can have a respectable travel stick if you ever decide to upgrade. Modding the stick requires no soldering, literally just taking out some screws and swapping out a wire on the pcb. This could be an option if you want something to mess around with right now that you can upgrade later.
https://www.amazon.com/Qanba-Drone-PlayStation-4/dp/B01I0GEDEY
Otherwise my advice would be to buy a madcatz TES+, that's sitting at around $100 used right now and it frequently goes on sale at Newegg.com for even less than that usually bundled with a game. Last time was around August/November and it dropped to $86 I believe. Keep an eye out and you can grab a really great stick for dirt cheap.
Today on Newegg the Qanba Drone is on sale for $35 with promo code: EMCTUTA38
Buy the drone, buy a jlf lever from Amazon to replace the stock stick
The RAP mini is okay but I wouldn't recommend it if you're going to upgrade. The buttons are small, not like all the other fightsticks. I would recommend the qanba drone instead : https://www.amazon.com/Qanba-Drone-PlayStation-4/dp/B01I0GEDEY
It's the cheapest fightstick that is worth it for the money, its only $10 more than the hori mini. The qanba drone also uses regular sized buttons so if you ever feel the need to commit to a larger stick in the future, the transition will be easier since it'll be same button sizes and stick size. The hori mini is small and it would be uncomfortable to play on your lap since you'd have to balance it on one knee, on top of that it doesn't have a lot of space for your wrists and hands. The drone is much more comfortable and has a slope for your wrists.