MJO,
If I had to choose between the calibers you have chosen I would go with the 7-08, but if I were open to any standard caliber
that may be better than either of the 2 depending on whose hands the rifle is in, I would go with a .270. I'm not gonna bore you with ballistic charts, my reason is because I have been shooting a .270 for about 15 years, probably killed somewhere around 125 deer with this caliber and have been very satisfied. I have my old model 70 in .270 and I now have an encore in .270. I've had the encore for 3 years, it has killed about 20 deer ranging from 35 to 250 yds, last season I shot a coyote at 418, he never heard the shot. I say go with .270 Encore, top it with a good scope, do a trigger job on it and never look back.