My dd's wake time is 8 am. When she first transitioned, 11 am was the longest we could make it until nap time. So, she had a heavy snack, and lunch upon waking (2-2.5 hrs). If the nap was short (less than 2 hrs), I would put her down for some quiet rest time around 4 for about an hour. Now, for about 2 months, she's having lunch somewhere between 11:30-12 because she can start to get cranky here, and goes down for her nap between 12:30-1. The closer to 1 she goes down, the longer she'll sleep, but her naps average 2.5 hrs.
HTH
