If all you have is a B16 block (and no other components) then I would heed the advice of Mr. Baker and TigBitties. Yes, you could source a GSR head, transmission, and some OBD1 chipped ECU. But the reality is that just getting those parts, and getting the rest of the parts you will need for the B swap will probably get you near your $2000 budget. Little things like shift linkages, axles, etc will start to add up quick. And you definitely won't be anywhere near your goal of 200hp to the wheels.
If all you have is the block, then I wouldn't let it dictate the rest of your build. My recommendation would be to take the $2000 that you would spend, and keep your eyes out for a cheap 99-00 Civic SI or a 95-01 Integra. Then you can do an entire drivetrain swap (with almost all of the extra parts you would need) and you can sell off all the parts you don't need. It is so much easier to do a swap when you have a donor car available. It would be a great learning experience, and it would leave you spending less than $2000 after selling off the parts that you don't need.