This would be my ultimate beginner set-up:

Grinder: Baratza Virtuoso $230

Brew Method: Hario V60-02 Set $17 and Filters $11

Kettle: Hario Buono $36

Scale: Hario Scale/Timer $43

TOTAL: $337

I went the most expensive with the grinder as I think it's the most variable thing you can get (v60, gooseneck, scale, etc. are all the similar) and can either make or break your cup of coffee. The virtuoso is a great machine that will provide a really consistent grind for any pourover/immersion brewing technique.

The v60 was my first technique and I love it, though if you wanted something that is a bit more forgiving you could switch it out with the Kalita Wave for about the same price. I started with the same set I linked to. The decanter isn't beautiful but I like it because I can use it with any drip cone, not just the v60. I also chose to go with a non-electric kettle because of price and also I don't think they are super necessary. I brew right off the boil a la Matt Perger with really nice results. Plus, it's one less thing on your counter. Oh, and the scale is pretty self explanatory. The Hario one is nice because it has the built in timer and measures to the 1/10 of a gram.

Edit: Thanks for the fun exercise! It's great to spend other people's money for them, even if they don't actually buy the stuff!