Update:
So I took the car in this morning to have it looked at finally. I had a steering wheel shake, some low speed turn clunking, and even a clunk when turning the steering wheel back and forth 20 degrees with the car at a standstill. Thought for sure this would be several issues, some suspension, some steering.
Turns out it was all due to just rotten steering rack bushings. A couple hundred bucks and two hours later, the car is good as new, and they said everything in the suspension is nice and tight, though the guy who worked on it (who happens to own a white '96-'97 Cobra, hell maybe a member?) said the shocks are OE and should probably be replaced just due to the mileage on them, although they aren't leaking. I thought my steering was plenty tight before, now it's pin-tight, feels great. And luckily I didn't even have to get an alignment (though I think the car could probably use one, after six months of driving on rotten northern roads she's starting to wander left ever so slightly).
Just another minor incident that makes me think what a solid car I have overall--just like when I let the Ford dealer inspect the entire car after buying it and literally all they could find was a broken lug stud and a serpentine belt.