I think Monument is the key piece to the Engine here. It really allows you to score a ton of points with out having to buy too much green. I would open up Potion/Lookout. The Lookout is mainly to trash Estates, and you want Apothecary ASAP. Apothecary gets your cycling up very quickly, especially since you can thin out your estates. You will want to pick up a Squire T3/T4 (which ever doesn't have your potion).
Into the midgame, you don't need to use Lookout real heavily, you just want to get rid of Estates, and maybe a few Coppers, but make sure to keep some to use with Stables. Between Apothecary and Stables it should be pretty easy to draw your deck. Then you goal is to start picking up Monuments/Squires/Stables. You can probably throw in a Shanty Town, since you can control which cards you draw Apothecary, and can stack your deck to make Shanty Town activate most the time.
I would hold off greening much longer than usual, and instead build up your deck. I think treasure maps might be decent here as a source of income once you can draw your whole deck, but I think It would have to be based on your deck state at the time. If you are low on treasure, that may be a good way to get some back into your deck.