I have done hvac for 30 years.
If you are handy enough to repair a pinball machine, you can install a ductless system.
For that 2k in labor you can buy a lot of specialized tools.
It is a system for a pinball game room. You can buy any system. If you want it to last longer, buy a Mitsubishi or Daiken.
They all come with step by step instructions so even the worst techs that can read can do an install.
May take you all weekend and a 30 pack but still will be cheaper than 2k labor.