Try Simon's credit card (or any hard plastic, even thick card should work!) solution. You may need to have 2 (or 3) layers. For 2 layers, Cut a strip of card to fit into the end of the pocket and be just over half the length of the pocket long (about 4 cm). For the next layer cut the card to fit the end of the pocket and be about 1.5 cm long. So, when in position they create a sequence of steps to rotate the neck angle around the top of the neck pocket. If you can lift the end of the neck by about 2 mm, the headstock will drop by about 8 mm - which hopefully will be enough.
I have needed to shim the neck of a couple of my builds - and I always used strips of plastic. Not fancy, but it worked.
Out of interest, what type of eBay shim do you have?
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