If he were my dog...I'd dash out to Target or someplace and buy 1 or 2 pair of little kids tube socks (2 different sizes) and try that. Obviously, you'd want to use the ribbed end of the sock for some compression.
I'd also get him some delicious lil dog chewy to distract him for a bit while his ears get feeling a bit more normal, and in the hopes he'd leave his little head compress on.
That would be preferred to having a client attempt Vet Rapping their own pet's head. Vet Rap can be a little tricky if she doesn't know exactly how snug (NOT) to do it.
But...Target also sells the equivalent of Vet Rap in their human first aid section as well.
I guess you don't have a small size Happy Hoodie you could loan her for a day or so?
Often it's not what you say, but how you say it.