Is a simple Hunting Party stack with Bridge not competitive here? You probably have a chance to close out piles with ~3 Bridges in play with the engine, but if HP/Bridge has 2 or 3 Provinces, it is going to be much harder to close out the piles and take a VP lead at the same time.
I don't have any idea how fast the engine sets up here. I did a quick solitaire with HP/Bridge, and I think it had 3 provinces on turn 13, and hit double province on turn 15.