First, I'm not sure why you didn't open FT/Quarry.
Second, if your priority is to get Apprentice into Markets, then get Apprentice into Markets! Don't get a Gold. On turn 5, get a Quarry with $4 instead of Silver. If you had bought Apprentice over Gold on turn 3, you would have been able to trash Estates on turns 6 and 7 and bought 2 Markets instead of 2 Apprentices.
You really don't need that many Apprentices in this sort of deck. You want the first one to get rid of Estates and improve cycling. You don't want to pick up a second one until much later because they are far easier to pick up once you can collide your Markets with your Quarries. You picked up your 4th (!) Apprentice on turn 10, but you could just as easily at that point have 1 Apprentice and 5 Markets, if not better.