I own both ..... in fact I have been shooting both cartridges exactly the same lenght of time. I bought a Browning A-Bolt Medallion in .270 and a Remington Model 7 in 7mm-08 on the same day. I bought them both about 17 years ago. The .270 is a long action round, and thus comes in a gun that is a little longer and heavier. And even though that is true, it will still have a little more recoil than a 7mm-08. It has a little more power and distance capability ( flatter shooting ) at 350 + yards. But both are good to 400 + yards.

The 7mm-08 is a great short action round. It comes in short to vary short guns. Something as small as a Ruger M77 Compact is a super handy short gun, but the recoil will come up some because of the reduction in weight. It will come close to the .270. If I had to choose one over the other, I would choose the 7mm-08. I love my .270 also, but the 7mm-08 has brought down most of my deer. I own several more guns, of various calibers, and it gets carried more than any other gun I own..... there is a reason for that...... I have seen one of my bucks do a flip when I hit him with the 7mm-08. It will accurately shoot farther that you are capable of shooting. If you need to step up to .270 power, then buy some Hornady light magnum ammo , and you have the same ballistics, and ammo is more readily available for the 7mm-08 than some folks would have you believe..... I say 7mm-08 would suit you fine.