I personaly bed the tang and front end leaving the sides alone. Now days , I pillar bed all my guns first then come back and glass bed them , not sure I'm gaining anything from this but the pillars are cheap and it sure makes for a professional job having those two shiney pillars surounded my the bedding.
Bedding a Rem 700 is in my oppinion easier than bedding a Savage.
just remember to use plenty of release agent on everything you don't want staying in the stock