I have had luck with a piece of copper wire that runs down the hole and long enough to hang outside the piece to be fastened. The size depends on how loose the screw is.

Be careful with loctite - there are several grades of holding power.

When I worked on microwave switches and limiters for airplane radar systems, we had to test the devices from 120 degrees F to -40 degrees in a special oven that could do that drop in one minute - to simulate a fighter going from the desert to altitude.

We had to use Loctite, but had to try many grades to allow us to repair limiters that failed the test.

The screws that were held with regular Loctite had to be blasted out with a special welder.

Out of the box - you could take an extra screw, cut its head off and epoxy it upside down in the hole, making it into a stud - put a nut on the threaded top.