Take the advice of someone local over me, but up here, any grass put down in spring will germinate but they usually die in our typical hot and dry spell lasting July into early August. Again, seek local knowledge, but I won't be surprised if they tell you it's better to just deal with crappy rye thru next summer, and delay the cost of putting down Bahia until September. That is... unless they're selling seed, and have some interest in seeing you have to buy expensive seed twice!
When doing a new lawn without irrigation around here, we usually put down something cheap to get us thru the first summer (e.g. rye blends), and save the expensive tall fescue for late August or early September. If you have irrigation, then of course you don't need to mind the dry weather.