I love it - sounds just like my dd "the world's too interesting to admit you're tired!!!!!!"
DD is the EXACT same way - love it.
Well all I can tell you is what we do, and basically if she has a screwy day I try to just go with the flow. Like today - we are out of town, and had a family member's wedding shower to attend and a ballgame this afternoon to attend. BOTH were during our typical nap times.
So this morning I tried to put dd down a little earlier than the 3hr mark hoping to get at least an early 45min nap out of her so she could go to the shower and be her sweet self, but no. She wouldn't go to sleep until the 3 hr mark which means I went to the shower and left her at our family's house to sleep while DH took his turn to stay with her. She made it to the last 10minutes of the shower after almost everybody had left. And she was dressed so cute too.
So then she had a REALLY long A time between the two naps because we had to go eat lunch and then make it to the beginning of the ball game. Grandma had even bought her a special cheerleading outfit, so we had to make an appearance. So grandma tried to get her to nap at the ballgame (fat chance - especially given your closing statement in the pp). We stayed for about an hour (an hour after typical naptime) before coming home to take a nap. Luckily OT didn't affect getting her to sleep too bad, but now she has slept till 5pm, and our typical bedtime is 6:30. But with a 3hr A time, she probably won't be tired till 8. So I probably won't put her down till she shows tired signs/ or until 8 if we don't get tired signs. But, this is an odd weekend because we are out of town. I do ususally try to stick to a pretty consistent bedtime, but there are many days where a late pm nap will push a later bedtime, and I just try not to stress out too much about it!
So all this to say I really do just go with the flow, and I usually try to keep with the A times instead of the times of day because that is my only contstant some days - and I KNOW after 3 hours of A time she will be tired and should be ready to take a nap, if not sooner depending on previous naps/night sleep etc. Usually dd is really flexible with it and doesn't give me too much grief. None of this rambling may help you at all, just wanted to let you know how we handle those things!! Good luck.