The tang is not part of the load bearing surface on a savage. My source of info is from Savage Shooter forum. I know that floating the tang will yield the results your looking for, but you can bed it anyway and grind it out later if you feel you need to.
While bedding my 110 (30-06) I made sure the barrel and tang were floated and it will shoot 3/8 inch groups.
As "TrailBlazinMan" suggested use the Acra-glas gel you don't want to fight the thin stuff.
Good Luck