We had this same dilemma prior to our last trip. We had a front-to-back traidtional double stroller that our oldest (just turned 5, 46 inches tall, 45 pounds) daughter didn't fit into very well. We decided to get a double jogging stroller for our WDW trips since their design allows the kids to get into and out of them extremely easily. We did a lot of research and found the almost-perfect model.
It has a large weight capacity of 150 pounds (most jogging strollers have a weight limit of 100 pounds), had extra wide seats, had large rear wheels for ease of pushing and shock absorption, the foot rest was far below the seat bottom (most jogging strollers have the foot rest only a few inches below the seat bottom), had a sun canopy, and rain and bug guards, AND BEST OF ALL had a two front-wheel set-ups. You could configure it as a traditional jogging stroller with the large FIXED wheel up front or you could take off that wheel and stick on an assembly made up of two smaller wheels that SWIVEL. The swivelling front wheels with the rest of the stroller being like a jogging stroller is exactly what we wanted for WDW.
The fixed, large front wheel of most jogging strollers requires that you tilt up the front of the stroller to make turns. It is also pretty impossible to navigate in stores with those large wheels. Also, I think Disney is concerned about the wheel sticking out so far in front. They think that people will trip over these wheels. If they ever ban jogging strollers from the parks, this will be the reason why.
Anyway, the one we picked worked out almost-perfectly. The only problem is with folding up the stroller during transportation around WDW. Actually, I think this is an issues with almost all jogging strollers (especially double ones) since their large wheels make it difficult to fold-up into a small unit. Any way, the way ours folds-up is a little cumbersome, but I never had to do that during our January visit. We stayed at VWL and took the boat to MK. The stroller fits onto the boat (and even down the aisles on most boats) very nicely. It would NOT fit onto a monorail or bus without folding up though. However, we never rode the monorail or bus during that trip. We take our car to the other parks. Since we have a large SUV (Excursion) we don't even have to fold-up the stroller to put it in the car.
It turns out that the stroller we purchased is the exact same double stroller provided for guests to rent at Disney Studios. So they'll never be able to ban our stroller from the parks. Here is a link to the website for the stroller manufacturer. (By the way, they also have a triple-wide.)
Baby Jogger
The suggested retail price is pretty steep. But we found it at a great price through another seller. Let me know if you want that seller's info and I'll get it to you.