I suspect one could get by with Bisquick or Pioneer baking mix which my be more friendly than the fat added. Bisquick makes a gluten free.
We are overwelmed, well almost, with zucchini right now and using lots of it. One thing I've noticed more this year than in the past, probably wasn't paying attention, is the wide range of moisture content. I have found that every recipe where I used it as a shredded ingredient has improved when I work it a little harder in sieve, rather than just draining.