You KNOW you are going to have to replace the battery. Do it and get it over with, then quit worrying about push starting. Why make it hard on yourself?

I have push-started my fair share of motorcycles, though I have not tried it with the Savage/S40. It has always been an operation fraught with at least a little peril. For instance, if the rear wheel decides to skid instead of turning the engine, the bike becomes a handful. If you have the throttle open a little and the engine catches, the bike can lurch away from you. If you jump your posterior onto the bike to give it a little more rear-wheel traction, you are usually "side-saddle" and the bike can decide to fall over the other way. If the bike takes more than a couple of brief tries, you end up out of breath (at least, I do) and coordination tends to suffer. That's why I recommend just replacing the battery instead of trying to tough it out and push start the bike.