This is a pattern for a super bulky weight beanie knit in the round and using the stranded colourwork technique.

100% Alpaca yarn is not elastic. You may find the smaller needle works better for the rib to achieve a tighter fitting beanie, if you are working with 100% Alpaca yarn.

yarn:
Rock Hollow Farm Handspun
100% Alpaca wool from Tux 70yds AND 100% Coopersworth wool 37yds
approximate yarn amounts:
colour A (Tux) - 70yds / 64m
colour B (natural light) - 37yds / 34m
needles:
5.0 - 6.5mm (us no 8 - 10.5) circular needles 32in/80cm for cast on and rib
8.0mm (us no 11) circular needles 32in/80cm
gauge:
10 sts and 10 rows = 4 in/10 cm over stranded stockinette patterning on 8.0mm needles
Change needles, as needed, to keep gauge the same throughout.
approximate finished sizes:
one size fits many; 21-25 in/53cm-63.5 cm head
additional tools:
needle to weave in ends, st markers, pom pom maker (optional)