I tried seeking help on Reddit and even on the Lutris Discord, but I still have a problem and can't play this game. I attempted to install the game using the Lutris script, but it's simply not working, and Lutris doesn't recognize the diabdat.mpq file. I also tried installing it manually based on some suggestions from Reddit, but when I launch the game, I only see a black screen and hear the music. I experimented with various Wine versions, but I haven't had any luck so far.
I managed to launch the game and see something with Proton 7.0 but its unplayable. I started to see something with DXVK off
I believe I may have been able to mostly reproduce your setup directly in Bottles, or at least found another way to achieve the same.
I made a completely fresh bottle, went to dependencies and then installed
cnc-ddraw. Then I installed the game, and it works. The intro videos play fine, but then the menu doesn't draw properly as you said, but the whole menu is drawn at least which makes it just janky but totally fine to navigate. Then once in-game it runs just fine.