I don't know the PDQ, but I have spent a fair amount of time on power cats. I love the flow of the living space, they are maneuverable since the engines are spaced far apart. Very stable at anchor.
But there are a few considerations to think about:
1. Waterline. There's no getting away from a short waterline of 34-feet. Manageable but weather will be a constraint. I'm currently cruising a 36-foot displacement monohull (33-feet waterline) and I can tell you, you are susceptible to common short chop that typically comes up in the afternoon in open water. Now, most of your proposed itinerary is fine - crossing to the Bahamas will need extra care. Again, not a deal killer, but just so you know.
2. Jerky motion. Cats are inherently stable, but they are prone to a snap-roll that takes some getting used to. You'd think beam seas would be a breeze but they are not. You don't get the horrendous pendulum roll that a monohull can develop, but it's no walk in the park either. Trade-off.
3. Berthing. By far, the biggest issue is finding a place for a catamaran, especially since Cats are so popular these days. You'll be berthing for a 40-45 footer which is okay since you have the accomodations of something close to that.
4. Engine Room. As RT Firefly states, engine access is tight, often really tight. Every power cat I've been aboard has been tight - even when they get to 60-feet, the engine room is difficult, on par with my 36-foot displacement boat.
None of the above are deal killers. And there's a lot to be said for a power cat. But every boat has tradeoffs - a powercat has some unique ones that you need to factor into your selection criteria.