270 Shooter-
I have a 110 and a 114 Savage, I don't knnow how yours is set up but the magazine on my 110 only allows a COAL of 2.90" (Nowhere near enough far a 7 RM, the 114 allows a 3.50" COAL.)
Keep in mind that these have the same action screw spacing, however on the 114 the mag. cut-out is longer and the bolt travels backwards into the the action farther.
If your 110 is set up the same I would reccomend the RSAUM, you won't be giving up much to the 7 RM and you can load them to fit in a 2.9" magazine if you want. The WSM is another option too but has alot less barrel life and uses alot more powder than the SAUM.
I just ordered my first barrel ever (for a wildcat I'm working on to deal with the length problems) so take that for what it is worth. However, I ordered a 1:9 Broughton, this seems to be what everyonoe recomends for the 180's and they will be just fine with the 168's.
Another note, my 114 is a 7 RM with a 1:10 twist and shoots the 168's really well. I have not tried the 180's yet.