I'm with Starlight too, but in answer to your question, what they offer you (without serious discussion) may depend on your hospital's policy.
I've been told by my community midwives that if I were to go overdue and opt for an induction, I would still be able to have a water birth in the MLUunless I needed the drip.
They'd monitor me and baby for a short time, after the pessaries and the same if they broke my waters, after which, all being well an active, water birth would be supported.
Whether or not you require the drip will depend on the favourability of your cervix. In a second and subsequent time mum, things are more likely to be pushed into gear with just the pessaries and/or AROM.
For a first time mum, the longer you can hold off induction the better IMO, as this will not only give your body the best chance of starting things off naturally, but in the event that things don't look like starting soon and you do opt for an induction, it is more likely that your cervix will be favourable.