I think your bigger issue is that the EE roo that is already in the hen house would try to kill them. They are young roos coming into his environment and he will defend his hens...
Since there are only three, you can very easily build a quickie home for them to sleep in at night. all you need is four eight foot 2x4 and four pieces of 3/4 inch PVC , some hardware, some wire and a tarp. The boys dont need luxury living quarters. You could definitely throw one together in a day.
BUT.. when I let my boys free range they don't go home at night like the hens do, they make a camp outside the hen house and incessantly try to get in.. I guess boys will be boys..
there is no doubt keeping roosters is a logistical challenge, I am currently in the planning stages of a 5 apartment rooster condo. (well more like a row home actually). I am hoping to work with some of them to get them to live together in several groups. but if not then they will have to get their own pen. It would be, black copper marans, blue copper marans, wheaten marans, black tailed buff marans, blue wheaten ameraucana, lavender Orps and then possibly a leghorn, but not totally sure on the leghorn,
oh yes, I forgot the legbars... maybe a 5 apartmen won't be enough !!