I converted the Lindberg 1/32 scale LCVP to RC about 30 years ago. The Lindberg boat is a few mm bigger than the Italeri kit. Like many of the old kits form the 60's the kit was originally designed to be motorized, as a free-sailer. Because of that, the kit is designed with a battery compartment underneath the cargo deck.
Back then, the RC gear was a good bit bigger than it is today. I could fit the rudder servo under the aft deck, and the nicad battery under the cargo deck. I used a disassembled servo for the motor and ESC combo-- it fit under the boat's motor box.
I still needed a place for the receiver, so I hid it in a truck. I build a 1/35 Italeri 3/4 ton Dodge WC51 track, and kit the receiver under the truck's tarp.
The model was only a limited success-- it was very slow. That was a function of two things-- the inefficient home made prop, and the extra weight from carrying around the plastic truck model. I would guess that, if I was to build one today, with modern RC gear and a decent prop, it would be a better model.