The answer depends on several things you need to check out; does the Carbon Copy expect (1) Instrument level or (2) Line level? The Stiletto's loop, I assume sends an unbalanced level signal( -10dBv), not balanced( +4dBv). Also, are you using unbalanced cables(Tip and Sleeve) or balanced(Tip, Ring and Sleeve)? What make/brand are the cables?
These questions require and answer from you. Depending on your answers, you may be able to get away with running your "footpedal" through your amp's series fx loop but you may want to go the "parallel" route or even better, get a "guitar-level fx loop" mixer which allows you to mix in the amount of fx with your amp's "dry" tone(yes, this is parallel).
I have found that the type of cables and how they're inserted into the loop can play a big factor in what works best. This also applies to "rack fx systems" but we won't get into that.