I owned a 1974 Catalina 27 for many years. It came with a 4-stroke Yamaha 9.9 mounted on the stern, and the stern cutout had been modified to accept the larger 4-stroke engine cowling when tilted out of the water including a teak doghouse added on top of the engine lazarette. That motor comes with a high thrust prop, which capably pushed the boat around the Chesapeake Bay. I wouldn't have wanted a smaller motor, nor one without the high thrust prop, which provided excellent immediate power in forward or reverse. There were times with a foul wind and current I really appreciated having reserve power.
I will say that the stern mount flexed with that motor on it, and on a boat of that vintage you may consider reinforcing the fiberglass there. We started to see surface cracks back there. The Yamaha 9.9 weighs close to 100 lbs, and I wouldn't put any more weight than that back there or you risk overstressing the fiberglass, and the boat will squat badly unless you counterweight in the bow.
The other option is to glass in the stern cutout and install an external motor mount slightly to the side. The spring mounts allow you to easily raise the motor out of the water when sailing and at the dock.