Oh that looks quite neat, though you don't have a sound card just to look at it.
Honestly for a few VSTs, if you're working in a Linux/Unix environment, pretty much any old box'll do. Preferably one that's 64-bit, might want 2-4 cores, at least 4GB of memory, but you could probably find all that off Craigslist (or your local equivalent) for 60-100 bucks.