Is there any benefit to changing a monoclonal EGFR inhibitor therapy when one had to be stopped for cutaneous toxicity?  

The two anti-EGFR monoclonals both have high rates of cutaneous toxicity. It isn't clear that one is better than the other, so switching Is not a good option.  It is better to reduce the dose and treat through with doxycycline and steroids.  Generally the rash will improve within 4-6 weeks...