Have you tried a picaridin based repellent? Not entirely odorless, but less than the perfumes a lot of manufacturers put into DEET based stuff. I still use DEET sometimes, but starting to use picaridin more often.
The one I've found is a Sawyer product, Cabelas and Amazon carry it, others places must too.
https://sawyer.com/products/picaridin-insect-repellent/In my completely non-scientific observations it works about equally on mosquitoes (but haven't seen any time-release formulas like some DEET products), and seems to work better for Adirondack black flies.
Bonus - its not a plasticizer like DEET, doesn't melt plastics.