You won't get as much diving at Barefoot Cay (3x per day) as you will at Cocoview since they don't have the shore dive/drop off option. BFC is a lot nicer than Cocoview which doesn't seem as important to you. The real deal with Barefoot Cay is that guests other than divers go there - it's a very small resort so crowded boats is never going to be a problem. I think they only have two compared to six? at CCV. The morning we were there, 6 of us were their dive business for that day - I asked the DM - he said that's pretty typical. We spent a day there, it's very pleasant - a short walk/ride to French Harbor for something else to do. You might look at the lofts also as a single, they're above the dive shop. Sort of a nicer studio - the Cay is 30secs. across the channel on their water taxi - the dining room, pool etc. are on that side. Below the lofts are the dive shop/dock.
At CCV most people stay/dive there all week. Diving is equally good - both hit many of the same sites. One of Roatan's signature dives - Mary's Place is just off Barefoot Cay but for our second dive we rode over to CCV and dove the Prince Albert. Either resort meets my definition of secluded although I've only seen CCV from the water.
When I read the first line of your post I was going to suggest Deep Blue Resort. We stayed there a couple years ago, it's quiet, smaller (10 rooms) 20 guests max. Food is good - they offer several menu choices daily - the main house is where you eat, socialize, play pool and the bar is there. Also a couple of computer terminals - Internet access is slow. From the nearest rooms, you can get wi-fi from your deck.
Lots of bugs, their diveshack/boat dock is on the mangrove lagoon that bisects Utila. All the rooms are beachfront on the ocean side though, often there was a good breeze also. Keep the door screened though. It's one of those places where we felt comfortable enough after the 1st day to leave the room key outside the door. (didn't want to carry it around) Town is 5mins. away by boat, you can't get there any other way. They move guests and their staff via boat so if you wanted to go into town, you can get a ride.
Of course one bonus to Deep Blue - especially later in February - is snorkeling with the whale sharks. You might be a little early though. The best Utila diving is on the north side - town and the AI resorts are on the south side. Laguna Beach, Utopia Village or Deep Blue are across a lagoon channel from town and only accessible by boat. Utopia is even more secluded than Deep Blue but more expensive also. Either Laguna Beach or Utopia have pools also if that's of interest.
In a week of diving we probably dove the north side 4 of 7 days, one day east and once south of town to a wreck and IMO the best shallow dive off Utila - Black Hills. Good dives on the north side are Pinnacle, Blackish Point, Duppy Waters, the Maze and about 1/2 dozen others right next to each other. We were also there during a prime whaleshark week so chose to do that at the expense of a couple of dives on likely days - they're deep farther off the coast so it kills a couple hours daily. There's also 5 shore dives between Deep Blue and Laguna Beach - Pretty Bush is just off Deep Blue but you have to find an (big) opening in the reef to get out to it. Labrynth is next door, we did it by boat but it's close enough that I thought about swimming back to the resort - until the DM pointed out that the surface coral would cut me to shreds near the beach.
