Risky, your Axis long action is essentially a 110 although the inletting for where the bottom metal would go has been filled in with polymer to accept the proprietary polymer magazines. I ran those mags hard in a Trophy Hunter XP without fail - but I wanted metal too. Since you already have a free rifle, you're ahead of the game.
If you want a more solid stock go with the Boyd's. Make sure your action screw holes are the same distance apart for the Boyd's. Their website has dimensions so it shouldn't be too difficult. Next, you will need the bottom metal since the Boyd's is not not filled in like the Axis to accept the Axis polymer magazine catch. Call Savage customer service and explain to them you want bottom metal for a long action. You will need the bottom metal for the receiver, metal trigger guard for trigger guard bolt release, and a metal magazine bottom cap.
To switch from polymer to metal simply squeeze the sides of the magazine to remove the polymer magazine bottom. The metal one will click in place. All bottom metal will screw into the Boyd's just fine. The bottom metal with trigger guard and magazine cap ran me $138 from Savage. The Boyd's was $100. For you, that's a laminate stocked rifle with all metal components for $238.
If you have any questions send me a PM and I'll walk you through it.