Could someone please help me in understanding how a bow should be balanced using stabilizers? What matters, and, what doesn't? Is there a rule of thumb?

My question is based primarily on my hunting bow. It is a Bow-Tech Patriot and the draw weight is 60#.

When I hold the bow undrawn, and without gripping it, it rotates off my hand with the upper limb going away from me. This is very noticeable.

When drawn, it seems stable. Actually, it feels like the bow needs some forward weight to help settle it on the target.

I am not using a stabilizer.

THX in advance - Pinky