Can you post a pic? We might spot something. Does the scope sit far enough back to provide proper eye relief and comfy cheek weld or does the back of the objective lens taper hit the front of the base @ or near the barrel nut.

If all else fails any gunsmith can heat and bend the handle.
Like you said you could go with higher rings, although I've seen "hi" rings only give 1/16" clearance between handle and eyepiece(still couldn't use lens covers.)

Keep us posted, I'd like to know what you decide.