The only real problem with a 710 is its price. It is not a "keeper" gun, really. The new ones have more metal, which is better. Early ones had even more plastic. If I had one, I'd shoot it.
But the opportunity cost of blowing $350 on it is just too great when you can buy a real 700 for a bit more. The SPS is matte finished with a basic stock, but it's actually a 700 action, which the 710 isn't, so the SPS can be tricked out over time and it's worth tricking it out.
If you're looking for a package gun, consider a base-model Weatherby Vanguard or Howa Lightning, which are excellent rifles and worth upgrading over time with fancier stocks and higher-end scopes, but can be left as-is indefinitely, or of course the offerings from Savage/Stevens.
I'm not sure about the new Mossberg ATR, but it's worth a look.
Bottom line? The 710 was an effort at making an affordable working gun, but it has been overtaken by competition, IMHO. That competition would include Remington's own 700 SPS.
Look for guns on sale, too. Especially Howas or Vanguards, which are sometimes available with sling, scope and a matching hard gun case for around $400.