I would run not walk away from that Remington 770. They are huge pieces of ****. The scope on it should be a good scope, but the rifle will suck. The 770's are basically a throw away gun. What I mean by that is if something breaks on it, you basically throw it away as many parts the barrel included aren't made to be changed. You'd be 1000x better off with a Marlin XL-7 or one of the Savage Model 10's from Wallyworld for $400. The 770's, 710's, and 715's are all guns to stay away from. While there model number may seem close to that of the 700, it's not the same or anywhere near as good of quality. The most I'd ever give for any of those Remington models would be $150. I might would give $200 if I really wanted that scope on it, but that's it. No way in hell I'd ever consider giving $350 for it even with that scope. You can get a ton better gun for $350-400.
As for the rings, what rings are they? They are probably the cheap crappy factory package deal ones. If so, they are crap anyway and you could pick a set up for $6 or so. As for the scope, they probably run around $200 new, but at the same time Dicks as well as several other stores have had the Nikon Monarch on sale for $199 recently which is a ton better scope. You can also find the Buckmasters used sometimes and get them for even cheaper. Or the Vortex Vipers which would also be a better choice and right now you can get a 2-7x33 on clearance for $175 through Camerlandny.com. The Buckmasters is a good scope, but nothing that's super great and nothing that's a $300 scope. Plus you have to figure it's used now. So even though it may have been $200 new it's no longer a $200 scope. The only scopes I've seen that really hold their value very well is Leupolds and even they don't sell used for new prices. For example Nikon Prostaffs go for about $150-160 new. Yet I bought one used in great shape for $80 and I've seen several others in the $100 price range. That's just to give you an example of how optics drop. I will also point out that Cabela's has the Nikon Prostaff 3-9x40 with the Nikkoplex reticle on clearance for $99 which is a pretty good deal for a pretty good scope. I normally wouldn't recommend the Prostaff as while it's a good scope, you can get a lot better for not much if any more when it's in it's normal price range. However, at $100 I'm not sure I can think of anything that comes close. The Burris FFII is tons better, and can be found for around $150 new quite often on eBay, so compared to the Prostaff at it's normal price the FFII is the way to go. However, at $100, they can't really be compared.
