brown I think the advice is any time you're not bleeding. I had mine done on CD23, the endo scratch I'm having done on Monday is CD21. Liberally borrowed from the 'hysteroscopy - athens' thread on FF, it says this:
Hysteroscopies are normally scheduled for just after your period has finished so that the lining is thin and there isn’t too much debris from your period - its not possible to do hysteroscopy if you have your period (because the view is obscured) or if you might be pregnant (because the baby might be harmed).
But as I say, I know it's ok to have them done any time you're not bleeding.
Going out to Athens alone is absolutely fine - I've done it, and I know lots of the girls on the FF Athens board(s) have done this. Following the lovely agate's excellent FAQ it's really easy, honest.
Insurance - this is a debate that goes on quite a bit (read the two 'Hysteroscopy - Athens' threads and you'll see what I mean!). Some ladies get insurance cover specifically for IVF, lots of others don't bother. I didn't bother, but it's completely down to your own preference.
I don't have definite dates yet but most likely I'll be out there around Mar 12th/13th. You could always post on the FF board and see if there's anyone else going out when you are - people pop backwards and forwards to Athens all the time, it seems!