Vincent,
Check out Myro (
www.myropcb.com).
They are a N. American front for a Chinese fab plant, but I've been using them for 10+ years and never a problem (well, couple of small issues out of many dozens of orders that were handled well).
Anyway, just priced out a 10cmx10cm, 4-layer, 1oz on all layers (inc. internal), 4mil trace/space, green, HASL.
10 day lead time is $247 for ten boards (price is for all ten, not each). $272 if you want immersion gold plating.
Thing I like about Myro is they do some of the more advanced stuff, like resin or copper filled vias, they let you choose the amount of copper on your internal and external layers, they let you choose your soldermask and silkscreen color, e-test, via plating thickness, routed shapes, countersinks, HASL/immersion gold/tin/silver/OSP. You can also pick your substrate, FR-1, FR-4, CEM1, CEM3, Rogers, Aluminum. And unless you pick some really weird option (like multi layer aluminum PCB), it will quote you online - no waiting for emails.
You do have to create an account, but in 10 years of orders I've never gotten a single spam mail.
IIRC you are @ Tesla now... the owner @ Myro is a guy named Charles, if you have a fair amount of potential work I'm sure he'd love to hear from you.
No affiliation, just a happy customer.