Approach makes sense, but I would not trust the result for two reasons. One, I doubt solubility of HCl doesn't change in the brine, second, because of the very high ionic strength of the solution. That being said, Na+, Cl- and H+ are quite common ions, chances are you will be able to find coefficients and use SIT (specific interactions theory) or some other model (Bromley, Pitzer) to calculate a more reasonable answer.