Hospital in Brisbane does the first dose of prostin and lets 1ST time mums home to return next day - haven't heard of anyplace letting 2nd time mums home though - its deemed too risky in case baby comes quickly.
Induction can take a long time as most hospitals wont give a second / third dose of PG if you are contracting at all on the CTG, irrespective of cervical change and this is the most usual reason for delays.
Once you are ready for ARM (breaking the waters), there has to be a bed / midwife in labour ward before they will take you - different if you go into labour yourself - they will have to take you anyway. This can also delay things if L/W is busy.
Most Birth Centres rule you out if you have an IOL, but you could try to negotiate them taking you if you have the ARM and no synto, but I think there would still be more monitoring than the BC would be happy with. This also probably rules out a waterbirth etc also, for the same reason of monitoring, although some telemetry CTG machines are waterproof, but staffing for waterbirth can also be an issue in L/W.
As for synto, its much easier for you to refuse a treatment offered than to demand a treatment. No reason to start synto straight away, in fact most hospitals would consider it reasonable to wait a few hours, its up to you to 'extend' it by negotiation.
If nothing happens after ARM and mobilising in the corridor and stairs etc, maybe a 'bump start' with low dose synto might be worthwhile, as you will start getting really exhausted.
As Lulumama suggests, sex / nipple stim might be the go first. Remember too that for most people, second birth is a good bit easier than first time!
Hope this helps and sorry about the long post.