So I gave it a try and the conclusion I came to was next time I try to photography a comet, I should use a star tracker. I've thought about getting into astrophotography before, so it will likely be a future purchase. The idea of producing black and white prints of the start and celestial objects sounds super fun.
Anyways, the results. I did capture the comet, but even at 5 seconds at 180mm there was still some visible streaking of the stars. Might be fine at smaller print sizes, but the comet was not very impressive with almost no tail. The comet became much more visible at about 15 seconds and onward, but the streaking of the stars and the head of the comet just kinda ruins it for me.
I finished a roll of tmax 400 developed for 400 and I shop a separate roll of tmax 400 and developed it for 1600. No only did I push process the second roll, but I tried "steaming" it with hydrogen peroxide per the instruction in the Film Developer cookbook. Did this step help at all? Probably not or at least not enough to tell. This second roll was maybe slightly better than the normally developed roll with the faintest stars being slightly more visible, but didn't do anything for the comet.
Well nothing ventured, nothing gained. At least I can rest easy knowing I tried.