A news....paper....? I'll see if I can find one I'll give it a go MH if my clay glove thing fails!
Well you could clay, the polish and then IPA/ panel wipe, to get any remaining polish residue off, or clay, polish then vinegar/newspaper suggestion. Don't see much point in polishing then claying. In fact I don't think I'd bother with the polishing at all. Not much to be gained by light hand polish and you're just adding a product on that you'll the need to ensure is completely cleaned off.
I've tried the white vinegar with newspaper traditional method when I had big problems 2 years back, but it didn't resolve them at all. New wipers did, but you've already tried that, so nothing to lose.