RAW, Fast Hands allows you to make a Dex Sleight of Hand check as your bonus action. Sleight of Hand reads very much in line with your wants:

Whenever you attempt an act of legerdemain or manual trickery, such as planting something on someone else or concealing an object on your person, make a Dexterity (Sleight of Hand) check. The GM might also call for a Dexterity (Sleight of Hand) check to determine whether you can lift a coin purse off another person or slip something out of another person's pocket.

So yeah, gagging them or taking their component pouch or unbuckling their belt would all be fair play. Put your expertise in Athletics and Sleight of Hand, and go nuts.