I am no expert, but I have stayed at a Holiday Inn Express and I do hunt.
What are you thinking of hunting? 30-06 is a powerful, do-all cartridge that is at its best with bullets from 150 grs - 200 grs but can be loaded to take any animal in North America. It is a good chambering, but potentially more than you need for just whitetails, for example, where the lower recoil 7mm-08 might be a better choice.
The 770 is not well-loved. I would encourage you to read a number of reviews, many of which do not have very much good to say about it. There are a number of well reviewed budget rifles available today that deliver excellent accuracy: Ruger American, Mossberg Patriot, T/C Compass, and Savage Axis among them. All of these are available new at $400 or less and while they are indeed budget rifles, they are all very suitable hunting rifles with established records of accuracy.
I would pass on a 770 because there are so many good alternatives available.