If the aromatics aren't in conjugation with the fluorophore I don't think they'd have a huge effect on the spectrum, but if they are chromophores you may get FRET pairing. I'd read up on FRET to see if you can expect any such interactions.
If quenching/FRET is not an issue, you might also be able to monitor your progress with something as simple as TLC. Look for the disappearance of the fluorescent starting material spot and the appearance of a second fluorescent product spot. I've done this with Fmoc deprotections. Works with HPLC too.
Finally, you may just have to run the reaction and determine the fluoresence spectrum of the product and use that to quantify the products when you do this in the future.