I setup a reverse proxy for my internal view connection servers. It works like a charm. You can find the configuration on my bitbucket ccount at https://bitbucket.org/StylusEater/random/src/18cc72e7e74ac15e961713da1819a2eaca1554ba/vdi/loadbalance.txt. This configuration DOES NOT (currently) seem to work with external security servers. I'm working with VMware on that right now. I'll try to remember to update this page when I've solved the issue.
UPDATE: I no longer administer VDI at my workplace and VMware never responded to my request for help with the security server.