https://hittingthegolfball.com/golf-ball-compression-chart/This article outlines what compression does and doesn't do for you. Based on your data, I'd guess B is something like a V1x or ChromeSoft X and A is a ball that is lower compression than B.
Lower compression balls will fly a bit further and spin less, thus fly a bit straighter at the expense of stopping power on approach shots.
Higher compression balls penalize any misalignment of your swing because they spin more than the lower compression balls and move left and right more when mis-hit. But, will stop and back up better on the green because of the spin. You also have to impart more energy to the ball via higher club head speed relative to a lower compression ball to get the same distance increasing the chance for a lower quality strike that flies offline.
I did a lot of trial and error with my found ball collection. If you have a good collection, play a dozen of what you have that matches well from the chart and see how you think they "feel" to you. An example is a Calloway Warbird vs SuperFast. I hate how a Warbird feels when I strike it, feels like I'm hitting a rock, but the SuperFast feels much better even though they have similar compressions.
My best round is with a V1x, I have a similar swing speed to you, and some of my worst rounds are with the V1x as well. When I'm on, the drives are in play and I can take advantage of the stopping power vs the Taylor Distance+ that is my daily ball. On the bad days, I'm slicing the V1x's into oblivion because of the increased ability to spin them working against me. I'm more consistent with the 70-80 compression balls from any of the manufacturers. My main focus in your data would be fairway accuracy, at least until chipping is the limiting factor in your game.
I don't think it's in that article, but I've read that your ball compression should not exceed your swing speed, and since I've bothered to pay attention, I'd agree with that analysis. Higher compression = higher risk for higher reward based on the quality of your swing vs just the speed. The lower compression balls will absorb the abuses of your swing "better" at the expense of pinpoint accuracy around the green. The effect on putting will be from the ball coming off the putter slightly different because of compression and would just take some getting used to either way.
HTH