Re: remmy 700 rings and mounts please help
I'm just going through something similar and all I can say is that you need to decide on a setup and find people with similar setups to inquire about ring height.
With a rifle practically identical to yours, an SPS Tactical .308 and a Tasco SS 10X42, I ended up with Leupold Mark 4 2-piece 20moa bases and High, steel, Mark 4 rings; all bought used either here or on ar15.com. The Medium height rings placed the scope lower but didn't give me the bolt to scope clearance I wanted. With so many different brands and no real standardization of specs, once you start mixing things up, it makes it tough. Word of caution, Leupold Mark 4 bases are not Picatinny standard; I learned that one the hard way. Btw., you'll probably want to replace the stock with something a little more stable.
Good luck