Chancellor+Counting house sounds like it works well. Unfortunately, to do play both of them, you have to have a village. So that means you have to draw village-chancellor-counting house in the same hand, but none of those cards give +cards, so that's pretty good luck you're hoping for! So practically speaking, you have to either get lucky with draws, or spam unholy numbers of villages, chancellors, and counting houses, or have an engine set up to draw the combo consistently (in which case, you might as well have an engine that draws a few extra silvers consistently).
Any of those things are typically going to be slower than straight BM+something.