Slim and Lightweight Carbon Fiber case for Google Pixel 6 Pro Phone Protective Cover (for Pixel 6 Pro, Black) https://www.amazon.com/dp/B09L6F72W2/ref=cm_sw_r_apan_glt_fabc_JCN9B0WQJHDTEG9XFKVH
https://www.amazon.com/dp/B09L6F72W2/ref=cm_sw_r_apan_glt_fabc_JCN9B0WQJHDTEG9XFKVH
A dbrand skin does help. I put their dragon one on the back and it now sits on a sofa without gently sliding off. You need to use a hairdryer to soften the adhesive to the curves of the phone and it will fit OK.
I want a Oneplus style slim fit hardshell case with the grippy sandstone texture on the back. And no, the caseology vault does not come close. It's chonk.