Can you bike to somewhere that you can work? I don't bike, but I often drive somewhere and work off my LTE connection. Got a little desk that mounts to my steering wheel and everything.
Much simpler solution as suggested by other commenters: Simply get into the habit of riding a quick 30 minute loop on the bike before working at home. Biking or running just for the sake of exercise is a completely normal thing to do and I don't see why it has to be justified by a specific purpose like commuting.