rodent (mice) prevention under siding

Folks, I'm slowly remodeling a 40 year old house while living in it and am almost done.  Exterior walls opened from the inside reveal plenty of evidence of mice infestation over the years, especially in wiring and plumbing runs.  I've addressed these areas with foam sealant but still have mice getting in.

I have masonite siding on top of a 1/2 in fiber board (?) that attaches to the studs.  The bottom siding board is about 1-1/2 in from foundation wall and I stick a tape measure up 2-1/2 in between foundation wall and back of siding.  I would like to seal this hollow cavity under the bottom siding board as I have seen mice run up into the cavity and believe this may be a major entry point.  My siding is in great shape for being 40 years old and I have no other visible openings in the siding.

Question is, how do I do it?

Do they make a wire mesh/screen etc I can jamb up there to prevent entry.  I was considering using foam sealant but am afraid when it cures it may cause the siding to bulge out from the pressure.  The house perimeter is about 200 feet with much easier access from the outside than from under (crawlspace).  Any ideas would be appreciated.