I didn't have continuous monitoring for my recent VBAC - and a friend of mine refused it too, she discussed with her consultant and put it in her birth plan. It was all agreed and sorted in advance. You can say no to it AFAIK. Speak to your midwife and/or consultant if you're consultant-led and say you don't want continuous monitoring.
I was refused a water birth in hospital as a VBAC-er, but midwifery services are a bit unusual round here in that we have an alternative NHS funded system that you can opt into called One to One Midwives. I used this service and was encouraged to have a home water birth. In the end I didn't use the pool but had a home birth with intermittent monitoring with the doppler.
I think I could have insisted on a water birth if I had opted for consultant-led care and agreed it in advance - but I went for midwife led care and had no consultant contact and then was told when the midwife called the labour ward to say we were coming in that I couldn't get in the water unless I had consultant approval - by which time it was, of course, too late to get it.
Hence I didn't bother going in to hospital at all!!