You MAY have better luck with the conicals and PERHAPS the PBs, but the heat issue is bigger than stock contact. With sabots, it's the barrel temp softening the plastic which destroys accuracy. So you may still have an issue with the PBs as the skirt is plastic. My guess is the conicals will fare better.

I simply let the gun cool a lot longer in hot weather. It is not realistic to expect a hot gun to continue shooting accurately. Even my centerfire guns lose accuracy when they get hot.