Trailer summed it up. For your 270 it shouldn't be much of an issue as the recoil isn't really stiff compared to a big bore or mag but it depends on the individual. I have had good results with the Bushnell Elite series, eye relief is a bit critical but I have used it on several rifles with no real problems (currently have 3200 mounted on 308 and 4200 on 50 cal ML). Comes with a transferable lifetime warranty, mulitcoated lens and 1 piece tube. Another I have not ever used but heard many rave about is the Sightron SII. These are consider the good quality for the money class.

For more money you have lots of choice Leupold, Nikon, Zeiss Conquest, Weaver Grand Slam, etc.

Best is assess how much you want to spend on scope and rings then compare for yourself. If you have it narrowed you can always ask for input on your choices.