Your chances are excellent. Congrats on the swarm.
I hived them on 5/17 and checked them quick on 5/24 to make sure they were building straight comb and if they were laying... No eggs. They weren't building weird, so I left them for 2 weeks. I checked them on 6/7 and both had 4-5 frames of eggs/brood/capped brood.Very doubtful. Bees usually manage to raise a queen if they actually are queenless. The one with cells may still be in that process. The one without likely has a virgin who isn't laying yet...
So, how do they supercede if they have no eggs to raise a queen from?Swarms often supersede quickly. If they do it takes about four weeks to have a laying queen again...
They were cups (3-4) on the bottom of one newly drawn comb; foundationless, so they were on the tip of the comb. This is where the bees were all clustered, but there was only a softball size group. They were a soccer ball size when I nabbed them off the limb. They had no eggs or larvae, and I could not find the queen they had with them when I hived them.A swarm often has a laying queen and they may start queen cells immediately or they may not. You said they had queen cells. Are they just cups?
I mean, the hive had no worker eggs or larvae or capped brood; Not the queen cups in particular.>They had no eggs or larvae
Cups mean nothing.