Combinations of ratings to address your needs
Either you purchase different sets of tires for different conditions / requirements, or you live with the best compromise between the factors you consider most important.
Remember, aside from speed, tires also are required to be rated based on tread wear, traction, and load range, not just speed. Does a high speed rating correspond with a high temp rating? Usually, but engineers design different tires to do different things well, or to be moderately good at a wider number of things. That's why all the other categories exist.
For example: I currently run 255/60 R 17 106H M+S tires because although I live in the desert and rarely drive in snow or mud, I like to "offroad" (use unimproved roads/ Jeep trails) from time to time, and all-season tires give me better gravel traction than Summer performance or "touring" tires. They have an A temp rating - which I like because I had an expensive "touring" tire blow out (tread separation) at 75 mph and 115 F ambient (so the road itself was probably 140 F or more) - and I'd rather not go through that again. They have an A traction rating, because they have a satisfactory M+S self-cleaning tread design for use on light snow and mud, but also because they have a softer, stickier compound that performs well and wears faster on the dry. I predict will only get about 35K mi out of them, but they are relatively inexpensive. A harder compound might mean less wear, but would likely have a bit less heat-tolerance, which could end up costing a lot more in collateral damage from a catastrophic failure.
They are the compromise that works best for me at this time. My priorities right now are: dry traction, heat-resistance, fuel economy, wet/other traction, cost - in that order. Identify your needs, then weigh all the ratings metrics along with initial and costs over time, and you'll have a shorter list.