as an 'aside'... have you had your vit D levels checked (simple blood test) ? low vit D in itself can cause fatigue, quite a few bendies have had it and found supplementing helpful.
also have you tried low dose (much lower than for depression) amitriptylene? this can help pain and getting deep sleep phases, if you dont get those... you can sleep 'all you like' but never feel refreshed.
I did the cope course too, long time ago though, and yep also found it helpful -
and I did a lot of fidgeting, getting up moving about AND lying on the floor in basic pilates position and nope they dont mind at all-
and it could be 'doubly' helpful as one of the 'techniques' you'll learn- pacing- is also used for chronic fatigue syndrome
but from my experience with chronic fatigue (I "luckily" got hit by that only some time after having done cope) I sure understand you worrying about making it to the course/making it through the day...
but as naama said get yourself to the assessment and see what they reckon
(oh- I didnt know about the vit D thing then and ami made me NOT sleep... but I feel both might be worth a try, might help a bit)
oh and silly bit of advice... if they still do things as they did then... dont carefully read all the course notes before doing the course... or it might get kinda boring
good luck from a fellow 'eastie beastie' - I's in ackney