Do they want to sleep in the same room as the children, but have a separate space to relax when they are napping? Or do they want totally separate sleeping spaces? Are you sharing the room with them or will you have your own separate room?
One bedroom DVC villas are going to have the same issue as AoA and ASM. If the adults want totally separate sleeping space and room to relax when the children are sleeping, the children will end up in the bedroom with the adults on whatever sleeping surfaces the living room area provides. Some of the suites in deluxe/DVC resorts still have sofa beds and fold out sleep chairs instead of Murphy beds (which I have personally slept on and which feel like a regular bed). I would definitely look for resorts that have been updated to include Murphy beds when viewing suites.
If it is all seven of you sharing the same room, I would strongly recommend the ASM family suite. It is set up to accommodate six plus one under three years of age, so you would be right at occupancy. There are three queen size beds, one in the bedroom and two Murphy in the living room/dining area. There is a door to close off the bedroom. There are two full bathrooms for getting ready. It would mean all of the adults would be sharing the living room space unless the parents decide to sleep on the queen in the bedroom with the triplets.
If the five of them will be in one room and the two of you in another, ASM is still a good choice. You could book a regular preferred room for the two of you and a family suite for them, which would give you plenty of space for the adults to congregate together while still giving you both your separate spaces. They could put the children in the bedroom (which BTW does not have an exterior door - another thing to consider for children sleeping alone) and use one or both of the Murphy beds for themselves.
I have stayed in one bedroom villas in many DVC resorts and while they are nice, I don’t see them as being significantly better when it comes to layout for a large group. Plus your total number of guests would require a bump up to a two bedroom to meet occupancy limits. Although all the triplets will be under three, you can only have one child under three over the listed occupancy. So at a DVC that would mean either a one bedroom with five and a separate villa for two, or a two bedroom villa for six plus one under three.