I'd do it now, with one important caveat: any remaining large branches that are sloping less than 45-degrees of angle, and that now are suddenly exposed to midday sun in this blazing hot weather, should be painted with interior non-glossy latex white paint, all along the top side of the branch where the sunlight hits it. This is to prevent bark and cambium death by sunburn.
Otherwise, wait till cool weather, preferably before late March.