I had the misfortune to come up with the same brilliant idea myself, with the same results. Damn, that hurt...
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OP - careful not to dismiss sunburn as trivial or laughable - a condition called "sun poisoning" can be very very dangerous, even potentially fatal. A friend of mine nearly died many years ago by dismissing a bad sunburn, ended up in the hospital for over a week...
Aloe, as has been mentioned, is a very good substance to apply, and can't really be over done. I did notice one of the suggested remedies that you might want to be careful with though. I thought I had heard this before, so I Googled the subject and found:
Check out:
Medical Encyclopedia
Hope you feel better, but I have to agree with some of the other posters, the visual of you sitting around all gelled up in the nude for a day is kind of titillating...