I have a BDM and used to have blackedge moray. I hated the blackedge - it attacked me, and was always in a feeding frenzy, no matter what I fed. The BDM is aggressive, in that it is out and about a lot, very alert, eats with gusto, and is a beautiful specimen. But it's not scary, like the blackedge was. You can find them if you look around and are patient. Check out Liveaquaria's Diver's Den on a regular basis.
My BDM is with tankmates right now, but belongs in a tank by himself or with another eel. He is not trustworthy with fish, and will probably be less so as he matures.
I don't know anything about the stout moray, so can't speak to that.