One of our favorite crawling places when my little one was at that stage was inside the Opera House. Usually not a lot of people, lots of floor space, too. I have very fond memories of sitting on the floor with him in there. He would just light up when he got a cool place to crawl around for a while.
My little guy doesn't like to nap in his stroller, either. DL has always been a tough napping spot. Even the "quiet" spots ... there usually is some sort of abrupt sound going off once in a while. You have the train whistle, odd sound effects, bands marching through back stage doors, etc. I once thought I found the perfect napping spot besides the first aid station just to find out bands marched right through there.
We used to recline the stroller all the way and put a blanket over the open area, closing him in, but making sure he wasn't too hot. He is such a good sleeper at home, but at DL would just stay awake in his stroller, for an hour plus sometimes. There have been some stressful moments. I finially realized if we just reclined him a little, gave him his blanket to hold, and then walked around he would fall a sleep a lot faster. He still doesn't sleep more than 30 minutes or so, but it is enough usually to get him through the evening.
Just last weekend we took a spin on the monorail and he promptly fell a sleep. Policy is to have everyone exit after arriving in tomorrowland, but we asked and because it wasn't busy, we were able to go around 4 times straight. Definitely not the norm for the monorail, but I think something like the train might work too. I really really wish we had the peoplemover here... that worked like a charm at WDW!
I'm still surprised at how few attractions we make it to on some days, just because tends not to be too much ride time in between naps, meals, diaper changes, and milk. I say list your top three attractions for each day, do those, and treat the rest a sugar on top!