If you guys don't want procs to be so egregious, seems like a simple fix would be just nerf them.
Or you could redesign them. Seems like Procs are essentially ways to add a 13th ability to your skill bar but they don't have to actually be pressed, they just get triggered. What if you made procs a "triggerable" ability that occurs after something, and you have to press those synergy buttons and it costs resources. Then you don't have random people surviving just because crimson came to the rescue. They would actually have to react and press a button. Or how about the procs just modify specific skills and turn them into like a somewhat different skill. Or you could change damage scaling so that the lack of a weapon/spell damage set hurts your other abilities a ton.
Just think how much different procs would be if velidreth was something you had to weave into a rotation, or zaan was like the soul assault ult. It would totally change them, and then you would just have to balance those procs based on how powerful they are relative to other abilities.