+1 to the router, bits, and templates. You'll save untold hours with a $100 investment. While no power tools are truly necessary, if you have the means, buy one, borrow one, whatever.
But until then...
This is said with the presumption that you will start with a flat blank that is at the desired thickness.
* Hammer & Chisel
The chisel can remove small bits of material with care & finesse, but that's not what you're wanting. I personally feel they are too imprecise for large-scale removal, so I prefer other tools.
* Several Rasps/Files
These are GREAT at rapid removal, but the area is almost guaranteed to be uneven & will be very rough afterwards. If you shape the outline with these, you'll need to clean it up afterwards. But they WILL get it all off in a hurry.
* Several Screw Drivers
Not for wood removal. Put them away and use the right tool.
* Plane
This would be your go-to tool to smooth out the sides after gnawing at it with the rasps. Or you could just use planes to begin with and rasp in the corners.
* Electric Drill
Not for removal around the edges. You CAN use it with some forstners to hog out the control cavity and pickup holes.
* Several Hand Saws
These would be a great choice if a band saw is unavailable.
* Spoke Shave
For carving & rounding over the edges, beveling, etc.
* An assortment of Sandpaper (Coarse & Fine)
Sandpaper wasn't invented until power tools were invented. It's ONLY purpose is to remove marks left by the machines. Before that, scrapers smoothed out the surface. Don't try to use sandpaper for wood removal.
Band saw or hand saw the outline as close as you physically can so you have as little material to remove as humanly possible.
Take all the tools you have and practice using them on some scrap before trying them out on your body blank. Ultimately, you'll find out which you like the feel of and can work with the best. When you do, those are the best tools for YOU to use.