i run Kenda Kiniption's on all my bikes. on my fastest bike (45+mph) i run 24x2.3's. the rear tire lasts about 5 or 6 hundred miles, and i've never had any flats or blowouts. i run that bike at WOT all day. i rode from Costa Mesa to Long Beach, down Pacific Coast Highway, where the stop lights are spread at least a mile apart in some sections, at top speed, non-stop, for 35 miles. if i woulda had a heat related blow-out, that woulda been a good place for it.
the only bicycle tires i've ever "blown-out" were on old vintage bikes with dried out tires, that shoulda been replaced, but i wanted to keep the bike original. i would never use those on a motor-bike.
a blow-out is unlikely. the biggest problem would be just picking up a nail or something and getting a puncture at speed. if the tire went flat rapidly and you were doing 45, the speed of the bike would destroy the tire, and might take you down with it.
i was looking into DOT tires, and checking out sites like Coker Tire and a few others, because they made antique motorcycles with the same sizes as bicycles. despite the outrageous prices ($200+ per tire) most of them don't show any load ratings or speed ratings.
i have heard a few horror stories about antique motorcycles losing a tire, but that was mostly due to the problems with fitment. back in the old days of motorcycles, there wasn't the technology to make a tire fit a rim like there is today.
a good rule of thumb for tires (and most everything) is the cheaper the price, the cheaper the tire.
tires like Duro's and any other tire that costs 10 bucks each aren't gonna be very good tires. i had some Duro's that came on a bike i bought and they weren't even round. they hopped up and down like crazy.
when i look for tires, if you go to the various websites, you can get a lot of good info about tire construction. most will tell you straight out what the tire is good for, how stiff they are, what they're made out of, etc.
you just need to relate it to a heavy duty bike. if a tire says it's ultra-lightweight, foldable, and used on hi-end road bikes, chances are it ain't gonna be the right tire for a 75lb whizzer.
Whizzers have been around forever, and they've used bike tires all this time. a good brand name tire and a thorn-resistant innertube is all you should need.
here's a Kenda Kiniption. it's got a cool round-y look to it: