Viking;
I'm voting .30-06 also, with personal experience. I have a Tikka T3 LHB ought-6 & took both my mule buck & pronghorn buck with it this year. Accuracy is MOA or better if I do my part. My only kick against the guns is that the magazines are very expensive for what's there.
As far as the short vs long action thing, there is no practical advantage to the short action. The two touted advantages of the S/A are bolt cycle time and stiffer, therefore more accurate, action. On the bench, the bolt cycle time means nothing. In the field, practice recovering from recoil quicker & that's more of an edge than a quarter-inch of bolt throw. And then there's the supposed accuracy edge. The barrel contributes far more to that than stiffness of action. Or, to put it another way, prove you can out-shoot a long action that's a .5 MOA gun before you point that finger at me. Which brings me to an example that you should appreciate, being a 6.5 Swede kinda guy.
My custom left hand bolt 6.5 Swede is on a Tikka action. It does have a Lilja barrel, and other goodies abound, but the point is, it's an under .5 MOA gun. Best three shot group at 100 yards so far is .261" But it's consistently under .500".
To my mind, the ought-6 is a logical step up from the Swede in any case. Recoil certainly isn't harsh, and both that & velocity can be altered through reloading. If you don't reload, there are certainly enough factory-rolled rounds out there that you'll find something that'll work. I do believe that there's even reduced-recoil stuff, or was at some time. The .30-06 will handle heavier bullets better than the .308, it's simply more versitile, if for instance, somebody in the family drew a moose permit. Both rounds are capable of fine accuracy, but really, that depends more on the particular gun and shooter than the round itself. Tikkas do shoot though, that's why I've got several.
Best to you though! It's a problem many guys would like to have, finding a gun for their wife who wants to shoot.
900F