The problem with titrating it against NaOH is that you are adding sodium.
I would think of somehow recrstallising the sugar solution because the acid in the water wont come out. Once the sand is filtered off, take the solution of strong acid and sugar and place in an organic solvent and place in a separating funnel. The sugar molecules should want to migrate into the organic layer (im going on a guess here because organic things tend to want to go into organic solvents. It doesnt help that sugar is water soluble), and the acid should stay dissolved in the water.
Let two layers form and get rid of the aqueous layer.
Take the organic layer and recrystalise the sugar.
This is just a guess, dont take my word for it. If I am wrong, feel free to correct me. (Its 3am in england, Im not really able to think straight).
(Im kinda thinking the acids would react with the solvent, I dont have much faith in what Ive just typed.)