We have done this many times on mid-rise concrete buildings (14 stories), but instead of caissons, the chord of the wall was centerd over pile caps. Your shear wall chords should be desinged to resist all of the axial load due to gravity and lateral. Don't forget to check buckling of the chord due to the compressive load. Typically we would have around 6-#6 bars with ties in each chord. And the shear wall reinforcing would be standard design. Also, if you have doors or other openings near the bottom of the wall, be sure to check to see if you need additional steel in the bottom of the wall (which is essentially a deep beam).