2-Bromoesters tend to be reactive, if "pushed" your amine may be cyclizing by substituting the bromine with nitrogen. I would presume that when you run the deprotection in, say, isopropanol with 3 equiv of HCl, at RT -> 45 degC, and then concentrate the mixture to about 4-5 volumes/expected product mass, put it in the refrigerator, you should see it crystallize. HBr might be a better acid to accomplish this (sometimes HBr salts, or methanesulfonic acid salts, tend to give better crystals).
From the original description of the problem it looks like a crystalline product is required. TFA salts, at least the few I have dealt with :), typically were viscous oils. Yet indeed, TFA, or TFA/CH2Cl2, are commonly used for Boc removal from amines at RT.