I've been under non-competes before. I've just ignored them. Most of them are unenforceable and in cases like Jimmy John's are just another form of harassment.
Hell, many places will release you from a non-complete if it gets you to fuck off faster after being let go. Non-competes aren't really about punishing after you leave, they are there to "encourage" you to stay.
I'm not at a high enough level that I think an employer would actually try to enforce a non-compete but the fact that I signed something that says they could still scares me.