Savage has a good reputation for a good gun. The .308 is a well respected, popular, and versitile cartridge - very, very similar to the 30-06 in that regard. A guy I hunt with quite a bit shoots a .308 for deer, black bear, moose and caribou, the same stuff I use my '06 for. Many options for factory loads. I do know they're a commonly used cartridge and effective for deer.

Others with more direct experience will comment on range and specific cartridges, but for deer, but I believe you'll find that the "standard" loads from the major manufacturers will be great for deer, just depending on the particular brand and weight your gun "likes" best. I tend to Remington corelokt 180 grain because they happen to be most accurate in my particular rifle, and it's easy for me to find this particular cartridge anywhere, anytime. 150 or 165 would be perfectly OK, but they just don't shoot as well in my gun. That's where I'd start if I were you (or equivalent Winchester, Federal, etc.).

I use the Swift Scirroco for bigger game, but only because, when I went looking for advice for a bullet for bigger game, the gun store I went to recommended the Scirocco, and it worked great. Again, there's othr options and equivalents in other brands.

Bottom line - your .308 could very well be the only gun you ever need and all you have to do is figure out which shell it likes (or more likely, the few it doesn't like).