Dear Sir. Concerning your issue about how to store and stabilize amino acid aqueous stock solutions freshly. It can be store at -20°C for long term. Amio acids solution can be stable at room temperature (RT; ~25°C), during aliquoting (~20 min), and when snap frozen in liquid nitrogen for long storage at -80°C (~6 months). I think the following below links may help you in your analysis:
The amino and carboxyl groups of different amino acid molecules can undergo a slow oligomerization reaction that is aided by raising the temperature, thus you should keep your solutions refrigerated to increase their stability.
NIST is selling amino acid reference materials as 0.1 mol/L HCl solution. This seems to be a reasonably stable form. Based on the expiration date and their recommendations you may estimate the stability of your solutions.