Full log:
http://dominionlogs.goko.com//20130124/log.50893139a2e67cff211cd7e5.1359035949135.txtMy first try at this board was Poor House/Counterfeit (mainly because I opened 5/2 and could buy Counterfeit first turn), but it was too slow at trashing my Coppers. So next try I decided I won't be trashing them, but I'll use Storeroom to make some coin from them. The board had everything I needed: Village for extra actions, Hunting Grounds to draw lots of cards, Market for extra buys and Throne Room to just make things a bit more crazy.
I bought all the actions I needed in 12 turns. Then two next turns the engine didn't fire (I guess it could be built way better) but at least I bought a Province each of those turns, and also one turn 12 together with some Poor Houses. Then finally turn 15 everything worked, giving me 4 coin off Markets, 7 off Storeroom and 20 off Poor Houses, allowing me to buy 3 Provinces, 1 Duchy and 1 Estate, ending the game.