I am not the most knowledgeable but as I have seen your post I'll put down what might be relevant.
Firstly, the 3 mile / 3 ft rule is lost - when they swarm they need a new home and it won't matter if it is near to their old one.
Secondly, depending on where you collected the swarm from - whether it was still in your apiary - there will be some scout bees who were away from the swarm so you might want to think how to collect them.
Normal practise seems to be to put QE below brood box and above entrance to prevent queen leaving. however, to remove that after a couple of days in case there was a virgin queen who needs to mate (if they have come from your hive you may know more about likelihood)
If you know where the swarm came from, you can check the state of that to prevent successive swarms from multiple queen cells
If there is any EFB in your area you might like to wait about 24 to 48 hours to feed to ensure they use up all the honey stores they brought with them - though of course you may know there are no problems if they have come from you.
