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.
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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.