You may want to cut down on barrel length also. You won't gain much fps over say a 22" barrel and you will appreciate the shorter barrel over the long run. First rifle, I'd go for a 30-06 or 270win they both will do everything you would want. I haven't heard anything good about the Remington 770 line and this is coming from someone who has 1/2 doz remington firearms. Look for a good used 700 rem mountain rifle/scope combo and you will be happy forever.
thanks, i'll ditch the 770 for a while and see what i can find.