I would pick the t3x in 30-06, and a trijicon 3-9 accupoint green mildot.

Friend just got that rifle, he put a FFII 3-9 ballistic plex on it, and it is very nice, but I like an illuminated reticle. The rifle shot 168 TTSX handloads very nicely.

A 168 TTSX at 2800 fps ought to put a hurt on an elk and is not too much for deer.

With the 30-06, you can always shoot even heavier if you want, up to 200 gr if you want a bigger hammer. Can't do that with a smaller cartridge.