@Gail. Not really. Dermatographia is a condition where a light scratch on your skin induces hives (the key here is hives occur with skin contact) where as the cholinergic urticaria sydromes (such as cold-induced urticaria) require no skin contact.
@Deaddolly. Yes, an antihistamine would help, though, as a college student, she might not want to take benadryl because of its sedating properties. I suggest one of the less sedating forms, such as claritin, allegra or zyrtec (many are available now over the counter). Zyrtec is the most potent, but also has the most sedating properties. It is a daily (24h medicine), so she can take it at night so when the peak effect happens she’ll be sleeping. Or, she can try claritin first, and see what happens. With these medicines, it is mostly trial and error. If this continues to be irritating for her, she should see an allergist, who will be more-than-familiar with this condition and can help navigate other treatment options (there are other options, but I would go through the allergist for that). Best wishes for your daughter.