Matt,
I have designed greens like 1B - that is similar to Riviera's famous Gull Wing but I think it works better on short par 4 and par 5 holes. In your sketch, the little lobes in front of the side bunkers couldn't be used for pins, and a slightly simpler shape would work better. For that matter, given most greens mowers, curves should be at least 48' diamter, and preferably about 55' diameter to avoid mower scalping.
I recently designed a green like 3B. That one really isn't that unusual. The 13th at the Quarry is also similar, with a steep bank front and back as hazards.
I have also designed greens like No. 2B (or not 2B) One such green is 5 at Colbert Hills. That bunker is the semi infamous "Wildcat Paw" in the corner. There is a fw cut above the right side so you can creatively putt around the corner.
Around the office, we call that green the "cartoon character with big nose eating a potato chip" green......
Alas, putting around the corner is always a technical problem, as most golfers don't understand that. And most supers hate repairing green divots.
Playing the Tribute in the Colony, TX on Friday with the erstwhile John Conley, their sixth hole had a similar shaped green, but with a large mound with fairway cut on the inside corner that worked great. The mound deflected my approach (and semi stubbed chip, dammit) away from the pin on the right, but it did allow recovery and putting around the corner.