A solid choice — #12 of 31 Cotton ranks #12 of 31 fabrics for quick drying. It is a good fabric for this. Ranked on low moisture regain, low weight, and packability — the inverse of absorbency. The top pick is Polypropylene.
Cotton measures 75/100 for breathability, 8% moisture regain, 35/100 warmth, at 160 gsm. Fast drying favours low moisture regain: at 8% Cotton dries at a moderate pace, and 160 gsm keeps it light.