Cherubini Hunters are pretty well built and are just fine for your purposes. Decent sailing boats too!
If you have a good AC electric system installed on the boat and dockside power, there is no problem using heaters on board while you are off the boat. . Just don't get any that get really hot in case something gets dragged or falls into it while you are away. Oil flled heaters are probably the safest and if you are going to leave them on full time, they are a good choice.
Cat's are fine left alone with a litter box unless you have one that likes to tear things up. You might be able to leave a port open to allow comings and goings and keep the litterbox outside under the bimini or dodger as interior boxes can really make for a bad smelling boat.
Can't help on the trailer fees. Good luck!
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