BFSearch

Tool for searching Pokemon in the Gen 4 Battle Frontier.

Features

Click to see a screenshot.

Browse through all possible sets you can face in the Battle Tower/Arcade/Castle/Factory.
View individual Pokemon you can face in the Battle Tower/Arcade/Castle/Factory organized by battle number and trainer.
Browse through all possible sets you can face in the Battle Hall.
View individual Pokemon you can face in the Battle Hall organized by the Type and Rank they appear at.
Search through each individual Pokemon by various metrics across each facility.
Check your type coverage across each facility.
Match the set of an opposing Pokemon based on what you know about its teammates.
Learn all about the mechanics and quirks of the Battle Frontier in the help topics.

Install Python.
I'd recommend Python 3.12, but it will work in any recent Python version from 3.8 onwards. Make sure to check the "py launcher" checkbox when installing.
Download the release zip from the latest release and extract it.
The whole program is contained in this folder. You may move it wherever you'd like.
Run launch.pyw.
The first launch may take a little longer. If any errors occur, check the logs in the logs folder.

If you know of any errors in the data or the help sections, please let me know!

Battle Tower/Arcade/Castle/Factory sets
Battle Tower/Arcade/Castle trainer info
Battle Tower/Arcade/Castle trainer class info
Battle Factory trainer info: this and this
Battle Factory swapping info: this and this (note that 7n being different from 7n + (1 - 6) is incorrect)
Battle Factory Thorton info: this and this (note that 7n being different from 7n + (1 - 6) is incorrect)
Battle Factory clauses info
Battle Hall sets
Battle Hall type/rank info
Battle Arcade roulette info
Battle Castle point info

And thanks to SadisticMystic on the Battle Facilities Discord for answering my questions.