Hmmm. that is a hard one there. I would go in and politely refuse to be weighed. That way you are showing "good faith" by going in, since you do need to continue getting the non-ED meds (you have it filled this time, but if you don't go in as the dr requested, he may not refill again).
Then you can explain to him what is going on, since you mentioned he is non-judgemental.
If it is any consolation to you AT ALL,I too now am at a "normal healthy" weight, and purge daily too. So I guess we still need help, lol.

(i hope that made sense, and didn't upset you)
Let us know what you decide to do. I totally feel for you. I hate that stupid scale.