Depending on what he said in the dispute, mail a small package to his address and pay for a tracking number. Provide that to PayPal.
What you're basically suggesting is: scam PayPal because OP was dumb enough to sell Bitcoin using a reversible payment method.
Besides it wouldn't work anyway. It's an "unauthorized" claim and if OP ships a package AFTER the claim was filed it won't qualify for Seller Protection even if it otherwise would.
I'd say at $39 it's not a very expensive lesson to learn.