Solar drops hours before daily air conditioning demand, but wind might do it. I always thought wind depended heavily on the solar cycle, but apparently Europe found it dips 20% or less at night.
Solar is still delivering 50% of peak as late as 5pm, and peak air conditioning is between 3-7pm. It's not a perfect fit, but mix in some time of use rates and (as previously mentioned) wind and it seems like you could do it. In buildings with decent insulation, cooling load is not hard to time shift.