What you are describing sounds like Forward Air. You go to their site (Google forward air) and find the local depot; when you ship with forward air you will pallet the game and drop off at your local depot, the buyer will pick up from their local depot.
I haven't personally used them for a pin but I shipped a motorcycle that way once and it was reasonably priced about $275
Also, this is a little out of the box but there is this new(ish) service popping up called Roadie. It's like uber but for packages and stuff. I think you could post a pin move gig on roadie and see if you get any bites.
- like uber - you will have more success in larger metros and heavily populated areas. If your source locale is large enough and your destination is on-the-way for the courier, you'll come out with a super cheap move.
I've moved arcades and pins with pinballs on the move, STI, and palleted with RL Carriers. Pinballs on the move was most economical but the Stars have to be aligned/ be in one of Don's routes. RLCarriers was next cheapest but you will want to buy the freight from a freight forwarder or reseller for best pricing.
never had any problems with STI for the parts that mattered. The pins go where they were going. The price was higher (475ish) and the communication could have been better from STI.
Good luck with your pin moves!