
Moccamaster (Technivorm)
KB Series
Durable, repairable workhorse, but pricey with basic features.

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I bought the BUNN Velocity Brew 10-Cup Home Coffee Brewer from Amazon about a year ago and I love it. Like most Bunn’s, the reservoir is always on, so the water is brew temp immediately. I have a ready-to-pour full pot, hot in the carafe, less than 5 minutes after pouring in cold water from the tap. Highly recommended for your use case in particular. $130 new on Amazon, a little cheaper if you buy it used. I actually bought mine used with no issues.
My Bunn velocity brew has 13+ years on it, still going
I’ve got a Bunn model that has the old school Mr. Coffee bi-metallic valve in it. Once the water is at temperature the hopper’s contents are dumped into the basket and it drains more like a pour over. Of course, the Bunn Velocity Brew and commercial units don’t have a valve at all. You add water, they are brewing and you can get class or stainless carafes for those.
In your situation, I’d ask for a Bunn 10 cup home coffee brewer. It’s the longest lasting, most reliable, kitchen appliance I’ve ever owned. Nothing beats it. They have fancier models, but the one I mentioned is the one I have-have had for years.
If each of the 20 drinks say, a 12oz portion that's 240oz or 30 cups. So you're looking at 3-4 runs with a 10 cup machine. Machine: Bunn. There's 10 cup options around $130. Carafe: Whatever. You can get insulated carafes for like, $20-$30. This will help your production line since you can't fit a commercial Bunn in that budget, keep one of those full + the pot. Grinder: You can get an OXO for $80-$100, or a Cuisinart for $50. Cuisinart grinder + Bunn 10 cup + cheapo carafe keeps you in budget and should all work great. Splurge on nicer grinder if you find more coin, Baratza Encore. Or go even cheaper + showy (though more difficult/more time) and do boilers and pour overs or french press made to order. Spend more on the grinder if you go this route.
I have the bunn Instant On. It's amazing.

Moccamaster (Technivorm)
KB Series
Durable, repairable workhorse, but pricey with basic features.

Moccamaster (Technivorm)
CD Series
Built to last, brews great coffee, lacks timer, expensive.

Moccamaster (Technivorm)
Cup-One
Single-cup, built to last, excellent coffee, but pricey.

Moccamaster (Technivorm)
GCS
Durable, SCA-certified coffee, but pricey with uneven water flow.

Fellow
Aiden Precision Coffee Maker
App-controlled customization, but unreliable and finicky interface.

Ranked #1
Fellow - Aiden Precision Coffee Maker

Ranked #1
Moccamaster (Technivorm) - KB Series

Ranked #1
Moccamaster (Technivorm) - KB Series

Ranked #1
Moccamaster (Technivorm) - KB Series

Ranked #1
Breville - Precision Brewer Thermal Carafe

Ranked #1
Simply Good Coffee - SimplyGood Coffee Thermal Brewer, 8-cup