If you have a Whole Foods near you, check out their store brand (365). We used them at preschool and at least at the time, they did not have the easy open sides. I'm pretty sure they have them in 2T.
We had to stop using them because DS's preschool complained about them and requested that we switch to the easy open kind. This is so that they don't have to take their pants & shoes off if the kid has an accident.
You can also try using something like a hemp doubler and a wool soaker with the disposable, may help with nighttime wetness.