+1 to light coats. If you can include a bit of colored border or rim around the carving, carefully seal just the border with shellac and a fine paintbrush. Dye the logo, then come back with a bit of paint in the border to cover any bleeding.
Alternatively, an inlaid border will work as well.
Of all the options listed, I think the glue and dowels through the inside plate, then face glue the outside plate, is the best compromise between strength and simplicity. Essentially the same as m&t, without the hassle. If you dry clamp things together while boring the dowel holes, it would even be simple to transfer them to the outside plate for a little extra bite.
They drop the hammer tomorrow and lay people off. I took off next week for Memorial day, I need to use up my annual leave before the end of June or I lose it. Seems like a good time to work in the shop before it starts really getting hot outside.