Yup. They make diesel outboards. They are heavy and expensive, but I do recall seeing a couple.
However, a good inboard diesel, even in a 25' boat, will pay for itself in lower fuel costs, insurance and maintenance (actually, "breakdowns", since diesels do require frequent "diddling" to keep them running well).
Compared to gasoline engines, diesels are heavier, more susceptible to water contamination, costlier at first and a lot of people find the smell offensive. But, diesel fuel is more efficient (more btu per unit), less prone to accidental ignition (vapor) and generally easier on the internals of the motor. A diesel engine can last many, many hours before major work is needed (well, boats ALWAYS need work).
For a casual diver or a club, a nice gasoline outboard powered boat, preferrably one with twins for redundancy, is fine. For a professional dive op, diesel is the way to go....
Oh, and for the perfect dive boat? Mmmmm...a dream of mine, as well. A big cat would be nice, although the "flat" turns can be disconcerting. A catamaran designed for big water will ride more smoothly than a monohull of comparable length. Twin diesels would provide redundancy in case of breakdown, the wider beam would be more comfortable, as well. And, if I had my way (money!) the tanks would be extra large for those long runs offshore.
What else? I think a onboard compressor would pay for itself in reduced weight (one nice compressor is probably lighter than all the tanks for dives 2, 3, or 4 it would replace.). A nice cover over the main deck, or a even a full sunbrella enclosure would be a bonus, for those days when the weather turns nasty on the way home, or folks want to relax free of spray.
Setup? An aft mounted reel for a REALLY long trailing line, permanent mounts for a "bar" safety stop big enough for everyone to hang at exactly the same depth would be a bonus (with deeper lines below for deeper stops). Davits for a chase boat, maybe one with jet drive (SeaDoo), would be about perfect.
Oh, and an open transom for easy entry/egress.
As for hydrofoils...they are too finicky AND delicate. On small hydrofoils, weight and balance (as on an airplane) become critical. That's why some of the small sailing hydrofoils have center cockpits...to keep the crew in the center of the boat (although they seem to handle the heeling moment okay).
I would imagine that with too much weight aft ,the rear foils would dig in and slow the boat down. Too much forward and something else bad might happen (pitchpoling comes to mind). I have no idea how they would behave in rough seas...but I don't know a lot about them.....
Some of the bigger foils have adjustable angles of attack for the main foils, I think, which can address this sensitivity, but I wonder how much such a system would cost on a little dive boat.
Of course, a really big boat could employ SWATH technology, like that big liveaboard in the Bahamas. But that thing is indeed....BIG.