I’m not seeing them in stock with the sellers I usually buy from, but here is a 4 pack for $4.39 including shipping from China ($2.09 from US, but not free shipping):
I hadn't even thought of using small servos. Possibly that would have been a lot simpler! I went though a bunch of prototype EMs testing to get a working combo of voltage, windings, core size, etc. (Blew more than a few driver circuits too...)