A lot of gun questions turn into Mary Ann versus Ginger type debates. There are good and bad attributes to just about any rifle. You just have to figure out which criteria are the most important to you.
If at all possible get some trigger time on a few guns and figure out what you LIKE. Ergonomics are not easy to evaluate without getting your hands on a gun. Imagine buying shoes because they look comfortable.
Once you know what you like you should be able to find a very nice rifle in just about any configuration.
Some thoughts...
If you like ARs remember that everyone and his brother builds one and quality varies dramatically. If the 5.56 cartridge is a little light for you there are serviceable models in 6.8 SPC or 7.62 NATO.
With the exception of being chambered in 7.62x39 a top shelf AK would seem to fit your other requirements fairly well.
FALs and M1A1s can be very nice but are also heavy.
The Mini-14/Mini-30 aren't bad choices either. The AR is undoubtedly more popular than the Mini-14 but the Mini does have its champions. I'm not sure the Mini-30 brings anything to the table that a similarly priced AK doesn't trump.
There are more specialized options out there as well and a little Googling should dig them up. (The Sig 556 & Bushmaster ACR are getting a lot of press at the moment.)
Don’t forget to check on the availability of accessories/magazines and the price of same. IMO this is one key area that makes the AR popular. They are very easy to reconfigure; add optics, change stocks, etc.
Long story short … there is likely more than one right answer and the right answer for me isn’t necessarily the right answer for you.