After watching this video (jump to around 1.20 to where #25 Robert Fripp is playing)

I'm basically looking for that tone, and i'd be happy if it were in a stompbox form.

All i can think of right now for a similar sound would be a Tube Driver...

I'm going to build the pedal so i don't really have a buget to tell you guys or anything, just need the name of a stombox/rack/whatever to supply me with a similar sound.

I have Xotic BB Plus and it's by far the most versatile and incredibly smooth sounding overdrive I've ever heard.