Hey, you can watch my best sunscreens video to know in detail, which I posted a few weeks back. There are good recommendations for dry acne prone skin. Although you can use Dr Sheth Ceramide sunscreen.
I don’t shave my face as such. I use razors for my eyebrows and upper lips though. There is no harm in shaving your face but make sure to lubricate your skin enough while doing it and then apply a good calming and hydrating moisturiser.