I was wondering what is a good elk rifle for my first elk hunt next season... I live in Colorado and will be hunting in moderate foliage. I have looked at a couple of calibers already but was looking for some help from the pros. These are the calibers that I have already looked at:

.270 Winchester
7mm Remington Magnum
.308 Winchester
.30-06 Springfield
.300 Winchester Magnum
.300 Winchester Super Mag.
.338 Winchester Magnum
.338 Winchester Super Mag.
*any model 700 sps remington is also an option

My budget is going to have to be around $250.

P.S. Even though my profile says that I'm 13, I'm 6' 2" tall and around 220 pounds... I can take the recoil!

ANY advice is GREATLY appreciated!