What should I use to replace extra thick (1.75″) sill plate? Should I shim 2x dimensional lumber?

My house was built in 1956 and I have come across some sections of sill plate on the cinder block foundation wall that need to be replaced due to termite damage or rot. It seems that they used some extra beefy lumber, and it measures 1.75" thick.

I understand the basics of how to replace the plate, by jacking up the floor joists, etc. However, what would you suggest I do about making up the extra 1/4" compared to a modern 2x lumber?

Some options I thought of:

1. Custom order lumber
2. Rip 4x stock to size

3. Shim with:

   • Rip 1/4" redwood shims
   • 1/4" ply
   • 2 pieces of 1/8" Redwood Benderboard
   • 2 pieces of 1/8" Masonite
   • 1 piece of 3/16" Masonite and ignore the extra 16th

4. Just ignore it? Seems like a lot to ignore.

5. What options am I not thinking about?

Thank you for any advice.