your alternating dry-peeling beard area sounds more complex than one might expect on first glance. first use a simple non-irritating shave gel such as nivea or aveeno oatmeal. always shave with a nice sharp fresh blade. if your skin is peeling it is dry and irritated you may actually have a skin allergy. i would suggest you definitely see a dermatologist to set up a proper skincare regime. in the meantime avoid any scrubs with glycolic or salicylic acids as these will dry you further. when all else fails for dryness and flaking good old-fashioned vaseline may help. .
my skin is scaly especially with shaving. it is also becomes very dry from sun. is there a cream that can help this?