One piece of advice I would definitely give you about bringing a stroller - make sure it is comfy and that it can recline. This will make your DD much happier if she wants to take a nap.
We have a 2 year old DD. Personally, we do not get park hoppers. We got them last year - we also went in November last year, and we only used the hopper option one day out of the 6 days we were there.
We actually do not rush to the parks early in the morning. We make sure DD gets a good breakfast (in case she is too excited to eat at the park later

), then we head to the park between 9 and 10am. Our DD has no problems taking a long nap in her stroller, so we spend the whole day at the park. While she is taking her nap, my DH and I will stroll around, get something to eat in peace

, do some shopping, or find a quiet park bench and relax.
We find it much better to stay at the park instead of going back to the hotel room for an afternoon nap since in November the parks tend to close much earlier than at other times of the year.
Also, we are planning to take DD to the Pooh and friends playground at MK that just opened recently. That way she can get out of the stroller and run around wearing herself out. One thing to mention about the park is that there are water sprinklers for the children to play in so we are planning to put her in her bathing suit and slippers to run around in the sprinklers.
That's all the advice I can think of for now...
Hope that helps!!!