What about taking one tire and making up a care package with a second tire and spare tube you could get somebody to send on Kureneko to your next hotel if you used the first one...
Oh, and some of the routes that pop up for LOJ south of Aomori in the mapping programs (if you go that way) are pretty funky. There was one that basically climbed every hill it could... freaked us out completely until we realised what was going on.