I filled two 1 liter plastic bottles with water and froze them. I alternate them every morning and evening. You could try it, but I doubt this will work as well for you as it does for me. My set up's very different. I put the ice in the tub, where there is no heat and not much ventilation. It still only drops the temp 5 - 10F, but it's enough.
At 80F, your cool side hide should provide some relief. Allowing your bp to roam should provide additional relief. I would also dial down the thermostat a couple degrees, just until the heat wave passes.