I am not 100% sure that there is no queen in the poor hive.
May be she is. That explains why they have queen cells. And if you see some open larvae it has a queen.
If I set that hive body on the other hive will I be taking a chance of getting my good queen killed?
It is possible.
One way is to to this if you do not find a queen.
Take a frame from poor hive and put it in new hivebox and shake all bees to the hive. Let bees go in. Take all but one of brood frames, shake them clean and give them to good hive where you are joining bees.
Move your poor hive 30 feet to some direction.
Put a new hive to poor hives old site. Now bees fly them selves to new hive and if hive has queen, it stays in old hive.
Bees in old hive will be very nervous because they have not queen or brood. They run here and there. These nervous bees you may put in good hive in the morning. They feel deeply queenless. You may put your good queen insice cage, if you are afraid that bees attach on her.
Then you have one frame and bees some amount. You shoud find a queen if it is there.