Well, the issue is how much nitrate (NO3-) is there relative to the hydroxide (OH-). They will be competing to bind to the positively charged sites on the resin. You need hydroxide to take up all of the binding sites on the resin to recharge a DI resin. Without knowing the relative affinity of each ion for the resin and the concentration of each, you cannot determine whether the resin will come out with substantial amounts of nitrate on it or not.
Consequently, I think it would be a poor choice. Sorry.