There are other cases in the literature. I googled SSRI rash and got some hits. Some people get a rash to several different SSRIs, indicating cross-reactivity. Could be an allergic response or chemical sensitivity. Trying ADs of a different class was recommended. Here is one reference:

Selective Serotonin Reuptake Inhibitor-Induced Rash: Case Report

Hope you can find an alternative med that works for you.