LSD is a serotonin agonist, and since serotonin is important when it comes to maintaining body temperature, would it be absolutely necessary to avoid settings that involve heat (hot tubs, etc.).
I'm able to stay fairly comfortable hiking through Southern California wilderness on a hot and sunny Spring morning with oodles of Lissy Dee in-side of me. I reckon its effects on body temperature are fairly minimal, if any at all.