Given your choice of a light rifle the T3 and new shooter I'd suggest the 308 or 270 win. I also agree the 7mm 08 would bea good choice but for a factory ammo shooter the choices for an elk or moose bullet are limited (at this point anyway)then the 270win or .308. If you know somebody who reloads then it would be an excellent choice.

The 3006 and 7mm rem mag might be the best choice but at higher recoil, something I don't think a new shooter/rifle hunter should set themselves up for.