Well , even if the screws for the scope bases and rings are loctited in place it doesen't ensure that they are holding everything down tight , if they are bottomed out before drawing down the pressure then the loctite is just keepng them from comming out. BUT , generaly this is only a problem with the ring screws especialy in the Rem 700's case as the screw holes run through into the bolt race way.
I would probably suggest that its the stock and the bedding or lack their of. Choate stock are prety cheap and pretty flexible due to their being injection molded. If you have the funds I would suggest replacing the stock with an HS Precision or comperable , a good laminated stock thats properly bedded would also be a good choice.
If the stock has to stay on the gun for "family reasons" then you can have the forend bedding with some small aluminum round bars in it to stiffen the forend and have the action area filled and bedded properly , this will likely cost more than the new HS stock though.
M<y suggestion would be to get another rifle that you can tinker with and make shoot the way you want , then start your own history with it.
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