Sunburn and heat illness. What to do?

I spent the day outside and despite sunscreen got burnt pretty much everywhere. It’s red, hurts a little and is quite warm. I’ve put aloe and cream on it. A few hours ago I started to feel too hot and lethargic and had a rapid pulse. I cooled down with fans and water. I’ve drunk almost 2L of water since. I’m feeling a lot better, but my sunburns keep making me hot again. The place I’m staying is warm (Hawaii, 30 degrees Celcius). Is there anything else I should do? And should I be careful about sleeping while I’m still overheating quickly from sunburns?

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