Thanks for the feedback. A deck that might stand a chance against the Vineyards/Rats player might be Golem/Rebuild/Winery (without the Marauder as I previously mentioned). If this deck draws a Potion draw without enough coin to reach Golem, get a Winery, and the Rebuild helps speed the draining of Wineries. The Winery diversion would slow down the Rebuild deck, but the Golems would help bring it back up to speed.
If the deck has 3 Rebuilds, a Golem, and a Winery by turn 10, then you'll be playing an average of around 1.5 Rebuilds per turn (only going up as you buy more Rebuilds), killing about one Vineyard and upgrading one Estate->Province per reshuffle. This ought to be fast enough to prevent the Vineyard/Rats player from getting more than 4 Wineries… but then the Rebuild player would still need to stack more than that many Provinces in order to beat out the Wineries.
Even if the opponent ignores the looters, the Vineyard/Rats player can still gain free Ruins with extra buys.