The best you'll find near that price is the Lands' End Hyde Park tailored fit. It retails for $49—$44 if you buy two or more. (You said no sales, but they do run 30% off sales frequently.)
The quality is decent though nothing special—I wore mine for a couple years and they never wore out. The tailored fit is slightly trimmer than Brooks Brothers' slim fit, though more relaxed than Brooks's extra slim fit. The collar was changed recently, shrinking to 2.75". For comparison, Brooks Brothers collar points measure 3.25". If that's not a deal breaker for you (I'm guessing it won't be, since you liked Uniqlo okay), then these are worth a try.
FWIW, unless you are super sensitive to price or just can't be bothered, I'd stretch for Brooks Brothers. The 30% off sale happens to be next week. The sales are often enough that you wouldn't need to stockpile. They also fall at the same times each year, so you aren't left wondering when the next sale will be.Edited by ChetB - 6/11/13 at 5:20pm