Its not the 80s anymore but even these days Id say someone with a guitar, wah, OD pedal, amp, and one FX processor is a minimalist. You ever check out the riggs over at guitargeek.com. Then Again I know guys that prefer just a channel switching amp, a chord and a guitar.
I agree that your best bet from your description is a TS9 to kick up your solo's a notch and a decent delay pedal since thats the only effect you mentioned. Maybe a Boss DD-3. If you want more time based FX, like phaser, chorus, etc.., you may wanna look into a single decent processor rather then have a tone of pedals. Its easier to deal with live. Thats more or less the only reason Id use a DSP.
Can you assign FX loops on a Triple Recto to individual channels? That would be very helpfull if you only want a Delay on your clean channel.