Alcohol might dry out your skin even more
Femanon here so I might be of some help.
Before shaving: wash your face with warm/hot water to open your pores and allow the razor to do a better job. Try not to run the razor over any area twice and don't push down on the razor because that will nick the skin and cause irritation. Also, shave with the grain so the razor doesn't pull the hair as its moving along.
Possibly try a different shaving cream, the face is a very sensitive area so go for the gentlest option available. Some people will use hair conditioner if no shaving cream is available but it varies from person to person. If you're having trouble with the razor, possibly try a different brand/style or shave more often than you currently are. Shaving with shorter hair will have less pull/irritation than longer hair will.
After shaving: be sure all shaving cream is gone and gently dab with a towel to remove excess, do not rub as this could pull and irritate the hair and skin even further. Wash your face with cold water to close the pores and make your face feel smoother. This is also a good idea because it helps stop your pores from being vulnerable to dirt, etc. Give yourself some time to let your skin calm down before you do anything that would irritate it (eating, pulling a shirt over your head, etc.)
I'm not versed in the process of aftershave so another anon may be able to help you with that.
Good luck OP