The metal I buy for lined wedges is in the .005 -.010 thickness range

A hint here, if you make the scales and wedge correctly they should bow, if they bow, you are going to be trying to attach metal to wood on an inside curve...

This is not easy, and you are going to have to create what is called a "Mechanical Lock" to keep them together as the scales flex... ie: just simply glue will not work..

This is why so many metal lined scales on razors are built like a knife with a spacer and no flex, that error can cause a multitude of problems later on, trust me I have fixed to many from other "Experts"

If you decide that it is a path you are going to have to take, fire me a pm and I will go over some of the fixes with you...

Myself I try and make a razor function like a razor and have a wedge and bowed flexable scales other liners like G-10 or Acrylic work much easier because they will flex with the scale material, and if glued correctly the glue creates a good lock easily