Well the CPU horsepower that will make OctaMED run smoothly all depends on how many samples and tracks you're using.
I actually run alot of MIDI and few samples and get away with running OctaMED SoundStudio on a bare 68000 A500 (with 2.04 roms).
My first jump up from the A500 was an A3000 with 16Mb of RAM that I ran both OctaMED 4 and Soundstudio off of and never encountered any problems using 8-bit IFF samples.
It really depends on your setup, whether you have a soundcard or not, but an '030 (even with just Paula) and 16Mb of FastRAM should still give you a healthy dose to play with.
OctaMED soundstudio will let you 'record' your module directly to hard-disk in either an 8-bit or 16-bit AIFF file. This shouldn't pose any problem using just the standard IDE port.