I don't use chalk. Hook grip is important for oly lifting and since my focus is on that lately, it's an easy way for me to train for it. If I can pull off a hook grip on a 360lb deadlift with no straps, I'm ok for snatching with it at 160lbs.
ah, i was more commenting on the alternating hook grip. i read you were combining alternate with hook grip which made me wonder as an alternate grip without chalk is still pretty robust. either way consider giving chalk a try, it makes a huge difference. the chalk keeps your palms dry and increase friction between your hands and the bar which means better grip. and if you do try chalk, use some moisturizer on your hands after to keep your skin in good shape and to reduce the chance of building up big calluses.
context is everything