Not having much knowledge or experience of the technical side of R/C modelling, I can't give much advice - however, I have
a model very similar in size and hull shape (
link). I fitted it with a standard 545 motor and Viper Marine 15 ESC, driving a 40mm prop. This is powered by a 12 volt SLA battery, which also provides most of the ballast for the model.
With this setup, the model runs at quite a sedate pace - but being a large motor yacht rather than a fast sports cruiser, this is realistic! Acceleration is also very realistic looking.
I suspect this is very far from the optimum setup for a boat of this size and type, but it runs well at a good "scale" speed, and is cheap (£4-5 for the motor, £20 for the ESC)! The motor (no cooling or heatsink installed) doesn't get hot except when running at full speed for some time.
Your model looks very interesting - a typical 1930s small motor yacht/river cruiser, reminiscent of "Bluebird of Chelsea" in style. It looks like it has a lot of potential with some added detail + fittings. The only odd thing is the bilge keels, which look very overscale, but you won't see these on the water anyway!
I'm fairly certain it's either scratchbuilt or built from a plan. Other forum members might be able to identify the plan (if any).