Now - as to strategizing - I know you probably want to throw him out on his behind today! Still - from a strictly financial point - are there some things you should be doing to protect yourself first, before you blow your cover? Like taking half of all the liquid financial assets (cash, savings, stocks) and putting them in a new account in your name only? Like making sure you have a credit card in your name only? Like making sure you have all the financial info you need?
Once you've done all that - then I'm not sure how best to handle it. Make him leave - now - and make him feel like he's losing something seems like a better strategy at this point than letting him waffle any longer.
Or you could try the trick that seems so popular with skanky oW, and "accidentally" dial her number on the cell phone while you and H are having loud and enthusiastic sex together