Also not a female, <but i do wear womens clothing...wait, what, uhhhh sorry scratch that>

First shower at home. If you do need to clean up at work most use baby wipes or do a hobo clean up using the sink. As far as clothing goes, is it possible to keep some garments at work? If you do need to carry them then I would look into a garment bag. I would wait to put on makeup until after you arrive to work when you know what condition you will be in. Also try to arrive maybe 15 minutes early or earlier to give you a chance to cool down and freshen up if you need to.