You can reasonably do stuff using KC, Expand, Watchtower, BV, and HoP on this board (with Cartographer thrown in). Once your engine gets going, you can hit =9 unique cards per turn pretty often and gain Platinum, and Expand those into Colonies. Should work out, I think. The real barrier is getting rid of the starting cards, and there's not a good way to trim down, but Cartographer sort of helps you out with that.
EDIT: you can Expand Coppers to other stuff, and reveal Watchtower, trashing them to trim down your deck.
EDIT2: blah, this takes way too long to solitaire. I was drawing the whole deck by turn 14 but misplayed it a little bit, accidentally trashing too many unique Treasures so that my HoPs only produced $7 instead of $8 or $9, and I should have picked up an extra Navigator to produce enough money when KC'd that I could buy a Colony.
I'd expect that your opponent would quit in frustration before you could end the game.