Meh. Lawyers represent unsavory clients all the time. I think Trump's treatment of his lawyers is the issue for most. Using them as political spokespersons and his reputation of not paying.

My guess is it'll go like this:

Trump: Judge, I can't find a lawyer with the skills to represent me.

Judge: Give me the list of people you tried to get to represent you.

The judge looks over the list see someone they knows.

Judge: Mr. X is appointed to Trump's lawyer team and will be paid 1.2 x [standard rate]. Trump will put Y amount into escrow to ensure payment.

Add some rules about what exactly the appointed lawyer will do and done. Trump can't argue for improper representation later.