I have a small loft office space in the 36x42, very well insulated half of my shop. My office is 12x14 with a low ceiling. I work remotely as an IT manager out of this space 4-5 days each week. There are no exterior windows, but two windows look out over the main shop space.
I live in Idaho. It's very dry here with summer highs around 90 degrees. My shop stays quite cool during the day due to the R48 foam insulation and becase it cools down into the 60s outside overnight.
I love this quiet, well laid out, comfortable work space. It's still under construction, with mostly finish work left. One thing I'm nearly done installing is the small minisplit unit. To keep office temps at 75 degrees in the heat of the summer, I've been using a 5k window AC installed like you are considering. It cycles off more than on, but it's so noisy that I can't wait for the minisplit to come online.
I have a large garbage can sitting on the floor below the window AC. It currently has about 12 inches of water in it due to the AC condesate, even with our very low humidity. The larger shop space obsorbes the transfered heat just fine, but is (barely) noticeably warmer and more humid with the AC running. It's only a few degrees but noticeable.
The compressor for my minisplit is mounted outside and I ran the line set through a 2.5 inch hole yesterday. I'm looking forward to having a cool and once again quiet work space both in the office and in the main shop space.
What you are wanting to do will work fine, but I'd spring for the split system. It will be more efficient, quiet and if you are in a humid part of TX, drier. My small unit was $700 and is the same unit I installed in my home office before that larger (and noisier due to the kids) space in the house became a nursery. I loved how well it cools and heats and how quiet it is.