Even a CD22 might be OK on fuel, maybe with an extra jug or two. Our tank was 58 gallons, and even with a two-stroke we got 3 nmpg. Round trip from nearest fuel at Elfin Cove looks to be about 130 nm.
I've thought about taking the Nordic Tug up to Lituya Bay from Cross Sound, and have spoken with folks in a similar-sized boat who have made the trip. It's quite a few miles of big water open to NW through SE, with no place to hide. Lots of beam seas possible. I'd want several days of a pretty good weather forecast and moderate swells.
Another major consideration is that the entrance is constricted, and has strong tidal currents, up to 5 knots or so. I'd be sure to time it to avoid a strong ebb opposed to a W wind or SW swell - could be pretty nasty.
So far, have not tried it.