You'd have to consult a local land use lawyer as to what you might do to allay the concerns in order to build, whether there is an appeal for the decision, or if you can get a variance. This is pretty much a bunch of local details so we aren't going to be able to answer.


Alas, in most places, the trend for a variance is that you don't get one unless all use of the lot is precluded under the "by right" rules. You aren't "required" to have a garage. You can park your commercial vehicles elsewhere. This isn't a "necessity."