Recently I bought a moderately cheap Westone Flying V guitar. (Not a Japanese one, but one of those German - made in China) Everything was pretty much OK, except that the strings were a little to high for my taste. I tried to lower the action by putting on lighter gauge strings and tightening the truss rod and it worked quite well for a while. And then a few days ago I noticed a gap between the neck and the body, so I tightened the screws holding the neck and the strings just dropped flat on the fingerboard. I unscrewed the neck to see what's going on there and I saw a crudely hollowed top part of the neck pocket and I also found a guitar pick and a piece of plastic in there. Also the neck didn't sit in the pocket just right, it was more than a little wobbly. At this point I decided to fill the sides of the neck pocket with wood putty so it would get a more snug fit, and I also filled the hollowed out part and sanded it all to a perfect fit. When I reassembled the guitar I noticed that the strings were way too high and I was a witness to the reason why the previous owner decided to hollow out the top half of the neck pocket and shim the base of the neck.
Now for the begging for help part.

Could anyone help me with fixing this problem? Does anyone have an idea that can last longer than the one the previous owner had? Should I glue a piece of wood to the base of the neck to raise it? At a certain angle maybe?
Lowering the bridge, I think, is out of the question, since it is a stop tailpiece with a tune-o-matic-like bridge and it at it's lowest. I've been thinking (since it's sitting on the pickguard) about cutting or drilling the pickguard so the bridge sits directly on the body, but that wouldn't lower the strings a whole lot.
I thank any and all of you from the bottom of my heart for reading this in hope someone has a solution to this.