You said your RV is overloaded 30% but this means nothing to us. How much weight was on that one tire?
Tires have a weight rating.
Running over the weight rating on a tire for a few minutes is not a reason to replace the tire.
How old are the tires?
Inflating 10% over is not going to ever cause a blow out, ever. Never.
Tires are rated at half of their max psi cold. Often on the highway tires will heat up and the psi will increase, way way past your 10% figure, and this is how tires work.
I know this bc a friend worked for a major global tire manufacturer.
Old tires that have not been kept up to normal psi, very old tires, if you increase psi and drive then that is enough to blow the tire out. The wire/nylon radials often will break and the tire shred into pieces when you drive it. I mean maybe a 10+ year old tire that has been sitting at low pressure then aired up and driven on interstate for a while...
If your tire hit a bad pothole just the right way and got damaged then this is the reason for your blowout. Blowouts are not always a sign that the tire was bad to begin with, but typically the tire is partially at fault anyway.
I had a friend that was a really bad driver. Remember the trailer tires site further out than your vehicle tires, so if you miss the pothole on the side of the road your trailer tire might hit it. This friend borrowed my trailer and hit everything on the side of the road. The tires were fine, but I had to replace the bent axle.
Blowouts only indicate that ALL the tires are bad when all the tires are as old as the dead one, over 6 years is old. over 10 is really old, and 20 is going to be a very big problem very soon.
No, driving on a tire overloaded a few minutes is not reason to replace it.