Nighttime Mini-golf, at the most elaborate crazy golf place you can find.
Seriously. That’s the perfect nerdy date, especially a first date. It’s the date that other nerds will make fun of me for, and you all can just bug off if you think this isn’t great.
If you find the right putt-putt place with a pub, bar, and/or restaurant attached, there’s casual food, drinks, and you’re playing a light dex game together, that’s both regular first-date stuff with also being super-nerdy, with lots of opportunity to chat casually.
And, if one of you is doing poorly, it’s a heck of an excuse for one of you to do the “golf-pro hug” to “help” line up your/their next shot, if they’ve gotten to that level of comfort with you.
“Accidentally” losing the scorecards early so no one cares who wins is a good idea (unless you both really want to compete), and let anyone play through (unless those guys suck, then team up against them!).
After, (or during), you have some cheap drinks/snacks/hit the arcade for a while. Your date kicks your ass at air hockey, but you win a lot of tickets (or vice-versa).
Yes, this sounds so lame. But you are wrong.
This is perfect.