Is there a way of having the pedals you use on one channel turn off when you switch to the other channel without tap dancing on your pedal board?

Jackson RR3 with EMGs!
B.C. Rich KKV
Yamaha F-310 Acoustic

Digitech Bad Monkey.

Peavey Valveking 112
I guess it would all depend on what you mean by channel.

assuming you mean amp channel and you have the fx setup on a send return...
or if you just have the fx in front of your amp...

you could have a custom built switch that would switch channels AND turn off the fx loop... might require an expensive 4pdt switch but I believe it's possible - not something you can buy in a store.

or... just get a true bypass loop that will turn on and off the entire chain of fx... but this won't change your chanel on the amp...