One of the best search engine for XML/TEI documents is Philologic (ARTFL). Its installation needs administrator privileges, so it has to be something done on the server side.
I do not know if there are other Digital Humanities project on Recaim Hosting using TEI, but it if it is the case, then maybe it would be great to have it as an option. Not sure about the licensing question, though.
Hi There-- Unfortunately, this won’t be compatible within a Shared Hosting environment as individual users do not have access to the main server-level permissions. But, with that said, I would definitely recommend you check out Reclaim Cloud! Creating an environment on the cloud will give some more user privileges, allowing you to install Phiologic.