If the problem is heating caused by direct light, I discovered accidentally that sheer window curtains can eliminate the infrared heat through a window. This is totally anecdotal but here's the story.
After regularly tuning for the same customer's small grand located near a bay window for several years, I arrived one particularly sunny morning. On previous appointments, I must have been there during another season or another time of day and never noticed just how very warm (almost hot) the piano rim and lid were on this particular day.
I talked with the customer about the potential problems the heat might cause and during the conversation her husband entered the room after overhearing us. Without a word he stepped over to the windows and ceremoniously pulled the sheer curtain ties allowing the sheer curtains to completely drape over the windows. The piano case cooled almost instantly.
Now, I don't know if there was some special IR thing about their particular sheer curtains but that's my story...