I think NLMIXED may be your only option, and even that will be messy. I would start by doing a very careful search of the SAS-L archives (https://listserv.uga.edu/cgi-bin/wa?A0=SAS-L) for posts by David Cassell on the topic of zero-inflated and hurdle models using NLMIXED.
ANOVA, or Analysis Of Variance, is used to compare the averages or means of two or more populations to better understand how they differ. Watch this tutorial for more.