I used to have a 77/357, with a Vortex Crossfire II 3-9x40 with the standard rings, and yes, the bolt came pretty darn close to the eye piece on that scope. I suggest looking at the Leupold VX-Freedom 1.4-4x20. The eye piece on the 1" Freedoms is pretty slim compared to other current scopes I've had. I think you'd have a bit more clearance with the bolt using the low powered Freedom.
Otherwise, maybe just get higher rings. Ruger makes them, or you could get the Alaska Arms QD rings.