Welcome to the forum Steve.
A 19' power cat should be more than capable enough to hold a 20 HP outboard, assuming it's a real powerboat, not an attempt to convert a beach cat, which doesn't have the volume to support an outboard on it's transoms.
Let's level the playing field a bit, can you post the make, model and year power cat or the plans you're working from? This will let us know what you have to work with.
An inboard on a power cat has some inherent issues to contend with, most not easily solved, especially if light weight is a primary goal.
A simple solution might just be mounting a 9.9 HP outboard one each hull. Typical weights will be about 60 to 70 pounds each. Again, a power cat of this size should easily be able to support this configuration, if it can't not much of a powerboat is it.
Lets find out what you're working with and go from there.