As standard, the gear ratios in an EK9 Type R are quite long... which blunts the performance IMO. However, if a (96-spec pref.) DC2 JDM Integra fits in the garage then it's worth looking into... can be stripped to close to a ton, handle well, good brakes, seats, lsd etc all as standard.
Another option, again Honda, is to look into a later MB6 VTi (5dr) or an EK4 VTi (3dr) and slap on a turbo kit with some supporting mods... get it running 300+bhp and go like a missile for around your budget. Plus, being a B-series engine, Type R gearboxes etc from the same era (DC2 and EK9) are a straight swap.
Cheers,
Grant