You will be more than happy with a honda civic with a b16a2 swap. That is the motor from a 1999-2000 honda civic si.
For this swap you want to find the b16 transmission. This is a short geared transmission.
When you are looking for the motor try to find the complete turn key swap. Motor, transmission, mounts, ecu, linkage, wire harness, intake manifold and all the sensors, alternator, distributer, & exe. This will save you a lot of trouble and headache.
since the car is obd1 and the motor is obd2 you will either need to convert the car to obd2 or convert the motor to obd1.
It is much easier to convert the motor to obd1 because you can use the wire harness that come with the car (as long as the car came factory with vtec) but you will need to find a obd1 ecu. The ecu that you can use is a p30.
Before you go into buying parts and swapping you need to do a lot of research to find out EVERYTHING that you need/need to do.
You can find the shell for cheaper than your price range it just depends on how clean you want the shell to be.
I recommend getting on honda-tech.com and searching on there because you can find everything you need there. you just have to look for it.
good luck with your project and have fun.