This is the exact reason why we stay at a 2BR OKW. We bring my dad with us. He has the master room and we have the second room. There are 3 beds in the apt, which means that we go back to the room after lunch and a ride (about 2pm), each kid gets a bed while the grown ups relax in the lounge area or balcony for a couple of hours. Then we head back to the parks for dinner and to last the rest of the night. They sleep in the double stroller again if needed. Worked out fine for us. I'm in the UK, we can't just pop over, and with it being so expensive (£13,000 just for flight an accommodation - free dining plan though), I want to get every single waking second at Disney!
Some nights my hubby sat the kids and me and dad did adult rides if the kids were that pooped (and one night it was frikkin freezing - too cold for kids), my dad babysat one night while me and hubby went to the bar for cocktails.
Maybe get a 2br and bring a grandparent