I believe this question had been asked several times in different places over time.
Looking at things thus far, it may be plausible as a suggestion towards the dev team to implement it as a form of decision or event like how the Kingsguard can get founded after the conquest of Westeros. Whatever the name for the kingsguard of New Valyria could be, should it be Emperor's Guard, Dragon Guard or Kings guard.
It is very likely that with a bit of modification, the kingsguard creation event could be used, except all references to westeros would have to be taken out and the New Valyrian Emperor liege would have to be given a decision to base them out of a keep.
It is plausible that Aegon Targaryen originally founded the kingsguard as some form of heritage from the Freehold, but this we will not know.
Looking at things thus far, it may be plausible as a suggestion towards the dev team to implement it as a form of decision or event like how the Kingsguard can get founded after the conquest of Westeros. Whatever the name for the kingsguard of New Valyria could be, should it be Emperor's Guard, Dragon Guard or Kings guard.
It is very likely that with a bit of modification, the kingsguard creation event could be used, except all references to westeros would have to be taken out and the New Valyrian Emperor liege would have to be given a decision to base them out of a keep.
It is plausible that Aegon Targaryen originally founded the kingsguard as some form of heritage from the Freehold, but this we will not know.