Just buy in for 100bb ($2 at 2nl obv) and have the autotop off option on so you dont have to actively do it.

As others have said, raising flop is dumb if you're trying to "tighten his range." Like wtf, so you only want hands that beat you to continue? Just flatting here and evaluating the turn is far and above the best play imo. He's donking probably 66-JJ, MAYBE a Q, likely a random 3x, and most often as a bluf with like KJ/KT/etc.

Raising for information is just a not smart move. You said it yourself to do it to tighten their range. As I said above thats just generally not smart unless you hold the nuts, and if you DO have the nuts, you're raising for value, not information. It just doesnt have much value imo.

Also, you had a lot more than 10% equity in this hand until you raised, and even after he 3bet theres a pretty good chance you're ahead. He could be bet/3betting with JJ/TT here a lot.

And lol at the notion that you'll lose more in one pot than you win in 3. If you look in like 99% of all players that have 100k+ sample that play a solid TAG (hate that term) game, will have AA/KK/QQ as their top 3 most of the time. You can swap QQ for AK or whatever but AA is almost always at the top.