I stop and buy a cold drink. Worth to get off the bike a few minutes rest and then continue on.
I have a small 6 pack cooler with a zippered top. I put drinks in it and then fill it with ice. it works so well that even on scortching hot days there is ice at the end of the day.
http://www.bushtec.com/cooler.html This is a link to bushtec's cooler. Talk to them about custom hitch requirements or buy it and take it to a welding shop.
It sounds like what California Side Car put on my Escapade trailer. It is a nice set up, maybe they sell it the way you are asking for. It is a quality mount and cover over an everyday but good cooler.
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