I'm again thinking of virtue: do Stoics consider that you can reach a state where you are virtuous, and therefore don't long for it any more?
I think that is a definite yes - when you get to the summit you are at the top and there is nothing greater.
Cant call a cite but I am pretty sure the summit analogy is a favorite, and that is another argument they use against pleasure - that it has no summit or limit.
We can hold this question out there as long as needs be because I would surely think that they took it seriously