Um. Buy a Monument?
Edit: Oh, misread part 2. Well, the KC/Goons/Masquerade lock + Monument should do it. (You have KC/KC/Goons/Monument/Masquerade for a deck, each turn KC Goons, Monument, Masq in that order, they run out of cards and can only empty the curses and coppers over time while you buy nothing and get infinite points)
I guess the question is, can you assemble it before they can singlemindedly run out a different pile, say the masquerades? Given that you both get perfect shuffle luck, I bet you can set it up in 9 turns, but you have to contend with their masquerades messing with your perfect hands :/ It's pretty gnarly to work out, maybe I should find an easier-to-prove method.