Thymallus
Drone Bee
My own experience with F1 is that is best to requeen EVERY year with bees bred by a specialist who knows exactly what they are doing,
And for those of us who can't justify the expense or the necessity of II, it's the best we can do. You don't have to know who or whom you're queen mated with, you simply need to be able to select those who perform equivalently or better than the original breeding stock.....as per your requirements. Currently my F1's are on a par with my original stock which were obviously bred from those who know exactly what they are doing....In fact this year a couple are exceeding in colony strength (can't say honey production (yet!)...crap spring so far up here)....than queens provided by the specialists.........not bad for an amateur bee breeders F1's.
Easy peasy!