but will your biking lead him to become abusive?
Just a syntax change here, though I know what you meant. Her biking can't lead him to become abusive. His own personality and need for control might.

I know this should go without saying, but I'll say it anyway: your activities don't cause someone to abuse you. If your s.o. is that sort of jealous control freak, they will find an excuse for "why" they need to control you, no matter how innocuous what you're doing is.

But hopefully, this isn't the sort of situation bikeforlife has to contend with. Hopefully, her hubby is either run-of-the-mill needy or concerned for her safety. Though needy can be draining, too.

(What's with this "it'll take too long to get back" business? Too long in relation to what? Do you leave for days at a time?)