I thought, "What the hell is wrong with that mod12? What's all that racket? Bad motor? Teeth missing in the gear box??? Whiskey Tango Foxtrot?!?" Oh, it's a stereo in the background....
You need to get a (or fabricate) a 174 or 176 4-bulb housing. It will need to be modified to fit the spindles and a brush added for the power (like the 175 housing), but it will fit under a 14 or TwinSonic dome with no issues. In other words, recreate the 144 bulb housing...
I am recalling the days of my youth (in high school--late 60s early 70s) when I worked for a FedSig dealer...there was a box full of 174 bulb housings. All I need is a WayBack machine....