Be careful not to let the cerrosafe flow up into the lug recesses in your action or you'll be spending some quality time getting it out. Easier to do than you might think, especially if you try pouring it from a bag with a cut corner, as a lot of people do.Pickup some Cerrosafe and make a cast of your chamber. The process can seem a little daunting ,but just follow the instructions and you'll be fine.
Another thought,have you checked the alignment of your scope bases ,making sure they are not putting bind on the scope itself?
I still have a few 700 actions in one of my safes waiting to be built into rifles again.
There is no middle screw on a Remington 700.You may have mentioned this earlier but are you getting keyholes or just big spreads? I've found that action screw tightening sequence is critical on the Remmy 700s. I've had plenty in the shop that 'wouldn't shoot'. Simply loosen the screws, force the action to the read of the stock to make sure it's resting on the recoil lug and tighten the forward screw first. Follow by the rear screw and then the middle. Just snug the middle. Apparently cranking down on this one tweaks the action enough to give wild groups.
BTW, I always bed my stocks and float the barrels.