You'll pay **a fortune** for having it professionally done.
Nebraska --> in Omaha, there is Tech Support Inc (TSI) just north of Q Street on John Galt Blvd. Used to be Radio Engineering (REI) on L street but not sure if they're around anylonger.
TSI assembles lots of boards for us, their quality has been outstanding. For small quantity pricing, we're paying ~$50 per board.
REI cost less but we had lots of quality issues with them. That was a long, long time ago.
Don't forget there are also one-time setup fees or Non-recurring Engineering (NRE). That can set you back several hundred $.

For SMT gear I would use a board place that offers a steel stencil. You use that to squeegee solder paste down then you can bake the board or heat gun it. Still have to pick and place all the parts.

I am looking for a place in China to stuff all the resistors, caps, diodes, IC sockets, etc. in my boards. Then i would just place the chips. No real luck so far, I have not put a ton of effort into it yet. I am hand assembling all my boards myself still. Something the size of the Bally MPU takes about 1.5 hours each with through hole parts.

How many boards are you looking to have done?

Check out macrofab.com.

That's impressive. I'd have ball-parked a few hours on those. You're moving pretty quick! I'd imagine soldering one type of component at a time across 5-10x boards is the better way to make speed.

Been looking for assembly options myself. It's going to take time to work that out, but you realize after a bit that doing everything yourself is going to be impossible at some point. Looks like it's going to take volume to get the price where it needs to be. Not something that makes sense with a low-volume type of product like diagnostic tools.. but makes more sense with MPU boards or similar repro boards that are needed.

I've had a good experience with PCBCart.com. If you have gerbers and a BOM, they'll get you a quote in a day or two.

Can do a half way decent job yourself with a toaster oven, solder paste, and a stencil (oshstencil.com)

A lot of suggestions here.

I can add my own, but I'm in my phone for the whole weekend. I'm having a professional place to my Meteor boards, and have used Macrofab for smaller, single runs.