hehe
Well, if you must (Google Maps is not ideal, but you can see where bikes can go on the satellite view) ...
Head East from the station along Stoney Road to and thru the part of Coventry Uni along Puma Way, up Gulson Road (you have to get across the Sky Blue Way), through the park and cross over the road at the other side of the park and go up King Richard Street and keep going pretty much North till Swan Lane, where you can pick up the canal. You will be on the east side towpath (the canal on your left).
At Longford Road bridge you can either come off the towpath, up to the bridge, cross over and to the left, and through the back entrance/feeder road to the Tesco car park. At the other end is a set of steps with alternate long ramp where you can go under the railway line and in to the Ricoh near the East/South stand, or you can stay on the towpath and go past the Ricoh (on your left) and come off where there are footbridges over both the canal and railway line and into Car Park B of the Ricoh. Plenty of places to chain your bike.
It will likely take about the same time as the bus (about 25 minutes).