The following is just IMO based on this:
mostly 70s - 80s rock. I like my music loud and clear.
I started in the same place as you and here are some suggestions:
All of the following are high sensitivity which for me is a must plus an AVR will easily drive them.
-I don't think you would be happy with dome tweeters as they wouldn't play clean and loud unless your room is very small.
-My first suggestion would be DIY Sound Group
and one of the 12" or 15" kits, they come with everything to build them if you get a flat pack and I would recommend the prebuilt crossovers. Almost no one is dissatisfied and the price is right.
-Get them and get REW running and see what your frequency response is in room just to get a feeling for what it does.
-If you had said you could spend $2000 per speaker I would have said get the JTR Noesis 212's that everyone raves about but they are over double the budget.
-If you really want to build your own you have a steep learning curve with active speakers. You need to pick drivers that are compatible (I would search other wave guide and ribbon tweeter designs) and learn REW and MiniDSP or equivalent. Going 2.5 or 3 way really adds to the difficulty.
My personal favorite at $2000 would be the Beyma TPL150H and 2 AE TD12m's. Over budget tho plus you need the amps, but I want to build these someday. Of course you probably only need 1 TD12 which would make it more affordable.
Any of the experts feel free to point out any mistakes I made. I am definitely not one.