since you don't need that much rigging and planking I would not suggest a wooden model sailing boat, out of the box and even yet to be crafted. Maybe - if it is not possible to get a whole one from some toystore or something - You can lay Your hands on a blueprint, and build the hulk of Your own. Also, since the hulk need no part below waterline, I assume.
Maybe that is even a bit cheaper. And if You have the blueprint You may easily scale it with computer and printer.
If You never have build a wooden model boat before, do not underestimate that part!
It is fun, but needs time to master and a hobby in its own rights.
Imho, build the hulk according to the blueprint out of a massive piece of balsa-wood. Put in some masts and just a bit rigging according to chebec or dau rigging, depending. Full model-original rigging sure will get in the way while playing.
best wishes
DK