Definitely a honey bee.
Rats may have opened up the original hole in the stucco or it was just missed when the house was stuccoed. Maybe carpenter bees moved in originally or you have an infestation of termites and they chewed the wood and the stucco didn't have the backing to hold and it fell off.
If you don't want to do a destructive removal, then do a trapout. You will have a 30 to 40 day wait for the bees to fully move into the trapout box. But you should be able to take 2 nuc boxes of bees (you'll need eggs or queens) out before you're done based on the number of dead bees. My concern is why so many dead bees on the floor? Is this a new home for you and if so, did the previous owner spray the bees with a poison or is the hive crashing from varroa?
If it was my house, I would do a cutout to remove all the comb and remainder of stores if there is any. Leaving the comb in the wall is not a good idea since rats, ants, ****roaches, wax moth, hive beetles and the yuck that will be running down the inside of the wall/ceiling will make you regret not doing a complete removal in the first place.
Strap the comb in frames while saving the brood, some of the stores and also the queen so you'll have a viable hive when you're done. I'm in the Tampa Bay area or I would help with your project.
Get a simple and inexpensive ($20 - $30) Infrared Thermometer to use to find the exact location of the bees. By the size of the exterior box on the house, that would be my guess as to their location. But using the Infrared should give you at least a 5 - 10deg. temperature difference when you check the ceiling, wall and exterior box.
You may want to find a beekeeper in your area that is knowledgeable in doing removals. With your help strapping comb and doing the cleanup you may get off pretty easy and he/she can take the bees when your done. Moving them north is not a good idea since you may be breaking the law in your state by moving them in.
Hope it all works out!