I recently bought a better fitting frame. I made sure bottom bracket and headset sizes would work with my current parts but realized this morning that the wheelset I have isn't fitting on this frame. The front tire rubs on the top of the fork. The wheels are from a Bianchi Pista and it has pretty thick tires on it, not sure exactly how big though. Do I need an entire new wheelset or could I just use slimmer tires?