I don't think homosexuals are necessarily suited to driving taxis but there are undoubtedly a few on the ranks. There's even been some that advertise the fact, displaying rainbow flags and such like.
Back on topic, you will get offers working nights, plenty of middle class aul ones looking for a decent shag off a bitta rough... usually as they start to realise that their grand a week beauty regime is no longer sufficient to turn heads. However, if you are interested in dating the old fashioned way you would be better advised to work days, particularly if you're reasonably articulate and relatively young.