I would think you'd probably be fine with the AS4 for that. I've had the PSS on my car pretty much since I bought it and have really liked them. They were a great all around tire and have worked for me pretty much year round. I know you're not supposed to drive them in winter, but I've never had any problems with it. I'm just mindful of their limits when the weather isn't great and it's fine. I always tell people if you drive it like a normal car it drives like a normal car. Looks like the PS4S is more or less a direct replacement for the PSS though, so think the AS4 is probably going to drive like an older harder PSS. Maybe like the original run flats? I've never been on those though, so can't really say for sure. I think it would probably be fine for how you drive the car though.
For what it's worth, when I was using my car as my daily commuter I think I got around 25,000 miles on the front tires and almost double that out of the back ones with my PSS setup (or maybe it was the other way around, 25,000 on the back and double on the front). It's a little different now since I run them on the track, but I'll usually buy a fresh set and run them on the track for maybe two weekends (I only do one track weekend a year), then they go on street duty for the next two years and are pretty used up by then. Keeps a nice 2 year rotation going, but I also have a second set of rims to play with.