Homosexuality is everywhere in Doha, but people like to pretend that it isn't happening. You may be able to get a visa for your husband as a domestic servant, like a nanny or maid. You may even be able to convince your sponsoring company to sponsor him as a sort of part-time "consultant" or something similar.

As for living here, two men holding hands in public is very common here, so that wouldn't be a problem. As long as you keep up a public appearance of being colleagues and roommates and friends, what happens behind doors is generally going to be your business.

Good luck to you.