I agree with what Honaldo says about needing more info on the sort of pressure it will be under before being able to offer meaningful guidance.
As a very general point, for making cf parts with fewer layers but higher rigidity, I find that a 4x4 Twill weave fabric will produce stiffer parts than your typical 2x2 twill or plain weave. It’s also twice the price so not ideal if cost savings is the goal.
I would also add that the part design makes a huge difference. A single layer in a pipe shape will be noticeably stiffer and stronger than a flat panel or sheet.
I would usually say that you should use as many layers as needed to achieve the desired strength. Why is minimizing the number of layers important here? If 6 layers produces enough strength and 4 doesn’t then why not use 6 layers?
Perhaps some pics of the part design and more specific info on how it will be used might help people offer advice that is actionable.
Cf, fiberglass and Kevlar are all strong in different ways. If it needs to stop bullets then Kevlar is the way to go. If it needs to not bend, then cf is your best bet, if it needs some flex before it breaks, then fiberglass might be the right choice…