Tell us about yourself!
I'm not sure I follow you at all, because 1 lb of ice will always have the exact same value at the same temperature. The only differance being crushed ice will melt faster vs a solid block of ice. So I agree it would cool faster - but the btu value is 100% exact same at the same temp. All those cooler fans & your pump need elec power , each watt is 3 btu lost , not even considering the heat loss due to the cooler exterior surface area. With a true scientific experiment I would bet pound for pound the ice in my system is 20% more efficient. It's like comparing a central ac with ducts - to a mini split with zero duct loss.
Not being a rocket scientist with a degree from MIT , but wouldn't just putting 2 frozen gallon jugs of water 16 lbs - into your tear drop with a fan blowing on them be 10 x easier and more efficient, without all your other cooler, pumps & hoses.I know for a 10,000 % fact that it works heating my trailer in winter if I put very hot water into 2-5 gallon buckets, so exactly the same has to work with jugs of frozen ice or those blue cooler packs or even dry ice if its gas is vented to the exterior.I just work on the KISS principle