I'd go with either a .270 Winchester or a .30-06, mostly because your post seemed to indicate that you were most interested in a deer rifle with elk and moose occasionally. The .270 with a premium bullet like a Winchester Failsafe, Barnes X or Nosler Partition will give deep penetration on all these species. Practically speaking, the .270/.30-06 have almost as flat a trajectory as the .300 mags at the ranges most animals are shot at, are a LOT easier on your shoulder, and will absolutely kill elk and moose cleanly if shot in the vitals. The recoil thing is a lot more than just discomfort - if you flinch under the recoil of the magnums, your shooting will suffer. The power of the magnums is wasted if you don't put the pill in the boiler room. And then there's the cost of buying powder to fill up the much larger cases of the .300 magnums. The same goes for the .30-06 as for the .270. Plenty of power for your needs as you described them without many of the the negatives. By the way, I just hunted in MT this year for elk and deer, and it seems like there are an awful lot of locals there who use .30-06s, .270s and 7MM mags for their combined elk/deer hunting. One more thing in favor of the .270 - it is s superb pronghorn cartridge with the 130 grain bullet just as it is a dee round with the same bullet. Lastly, I fear that sometimes the more powerful magnums tempt folks to shoot farther than their skills. Overall, I'd buy as much power as you need to get the job done effectively that you do most often (deer vs. elk/moose hunting for example) and resist buying more power than you'll need or be able to shoot effectively. As for the short magnums, they're advertised as being lighter, which may be good when your hunt requires lots of walking (especially at higher altitudes, over difficult terrain). The flip side of that coin is that the price for lighter weight is more felt recoil.
If you really want more than the .270/.30-06 but don't like the kick of the magnums, consider the .338-06, which is just the .30-06 case necked up to accept .33 caliber bullets. Browning and Weatherby make rifles in this caliber now, and at least one of the major ammo makers sells factory ammo for it (Remington, I think). If you hand load, the options for the .338-06, .270 and .30-06 all get better.
Lots to consider, eh? Good luck.