Run-flats make sense if you're someone who really hates the idea of changing a tire on the roadside - maybe you're elderly, have a disability, or just live somewhere sketchy - but for most people they're not worth $800 extra for four tires. The harsher ride is real and annoying, your fuel economy takes a small hit, and they wear faster, so you're looking at higher replacement costs down the road too. A better move is to stick with regular tires, keep a decent spare and a jack in your car, and maybe throw an extra $50 at a roadside assistance membership if that gives you peace of mind.
Here's the practical thing nobody mentions: if you're worried about being stranded, spend maybe $100-150 total on a portable tire plug kit, a battery-powered air compressor, and a tire pressure gauge. You can patch a puncture yourself in ten minutes and limp to a shop, getting most of the run-flat benefit without the downsides or the cost. It won't work if the sidewall's shredded, but those situations are rare anyway.