Men
Huge hugs hun... it's not uncommon for them to nap better at the CMs as they are busy busy busy!
I was hoping you would say she could be rocked to sleep easily
It was (and still is) my first line of defense when things get ugly with naps here... I used it a tonne during the 2-1 as I found DD was so tired that she would struggle to drift off to sleep peacefully at first, she would jolt awake so I would rock her to sleep and hold her until the first few jolts had passed then put her down (only about 10 mins max!).
The transition from 2 naps to 1 is wretched, no question. Just remember that it can take months for some LOs to make the leap completely. Some have a CN and nap for a few months along the way, others alternate 1 and 2 nap days... etc. You just have to figure out what works for her and run with it... don't be scared of EBT at all! Some go down as early as 6pm and are better for it...
If she was really that knackered, a good APOP nap could well take the edge off of the OT and get her a more restful night