I have tried this on thinner wood and not been happy. Even with a good blade, you will get some deflection, especially on curves - and the deflection always seems to go the "wrong" way. I wound up leaving a generous amount of extra wood on the piece and wasted a lot of time on the router. If you try it, I would recommend a slow cut rate and several relief cuts instead of one long cut where the deflection keeps building up.
On the other hand, I'll bet there's someone nearby who would let you use his bandsaw for a couple of hours for a few Fosters or a new blade....