I use OSHPark for prototyping. I don't know where they send the boards, but they hit a reasonable compromise between cheap & fast: $5/sq inch for 3 boards. The quoting is immediate on their website. I usually have boards back in a week after ordering from OSH Park.

For production quantities, I use JLCPcb (China) with Airborne for shipping (so it doesn't take a month to get here). Their quality is very good. Pay the extra $20 and get a stencil to make paste application easy. It's worth it. I think my last order of 50 board roughly 2.5x3.5" with a metal stencil came to about $70 total with an additional $30 for 3-5 day shipping via Airborne.

In Poland I can get a board or 3 in a week but it will be expensive (about $150-$200 for a small one), normal, cheap delivery time is about 3 weeks. China is even cheaper but takes 4-8 weeks.

That's why I made a lot of boards myself as described in my comment - I get film exposed at professional house that does it for offset printing, and this is pretty fast and cheap (about $3-$4). I pick it up myself. The rest is done with photosensitive 3M dry film and Chinese wet soldermask. Drilling on DIY CNC.