In my experience, heavy use of Remodel works best in conjunction with another strategy; you can't usually rely on it exclusively, but it can give you a strong boost. Get into the Remodel game early and aggressively (especially when no other trashing options exist). Most importantly, learn to recognize when other strategies are more powerful than Remodel, and don't be afraid to only buy one and use it only moderately when that's the case.
Remodeling from Coppers and Estates all the way up to Provinces takes a long time, so find a way to buy or gain a lot of Golds through other means, and then use Remodel to bump them to Provinces. Near the end game, you can be especially aggressive with dumping your Golds, even when it drops your coin in hand down and limits your purchase to a Duchy.
It's also beneficial to combine it with attacks to slow your opponents down enough to let your Remodel strategy come to fruition.