More details!

Hunting of hogs and...? Assuming deer?

Factory round, or open to reload-only propositions?

Supportable static position firing for deer and hogs over bait, or are you hunting on the hoof?

Long range = how long? 300yrds is pretty long in relative terms, but some folks expect "long range" to mean a LOT farther.

Are you buying a factory model, or considering building something custom?

For myself, that proposition means 0-600yrds on deer and hogs, usually from static positions where I could use some form of support (at least a monopod), and I'm still spry enough to carry a 12-13lb rig afield. I don't love long barrrels, 24" tends to be my top end for handling, prefer not a 26", and I tend to like something in the forward weight balance of a #5-5.5 contour. Laminate or Walnut stock, stainless steel. For that distance and game, I'd be looking in the 6.5-7mm. Since you were talking a 308win, maybe a 6.5Creed or 260rem, even a 7-08 - but now that you're talking bolt gun, you'd have the option of going with magnum or short magnum cartridges. I have a soft spot for 284win as well. Lots of cartridges that'll play that game too though, 25-06 and 270win on top of that list above. Lots of 30cal cartridges will do a fine job, but just for deer and hogs, that much recoil isn't really necessary. It's a lot easier to get super high BC's with a 6.5 or 7mm without knocking your arm off (not that a 12lb rifle has a lot of recoil, usually).

A Rem 700 or Savage 12/112 or 16/116 would be where I look for a push feeder. You can put together a custom Savage on your own really easily, or if you pay a smith to install and headspace the barrel, the Rem 700 would go together easily as well.