this is called cold urticaria. one of the more unique types of hives. you can try using an antihistamine before cold exposure but it still may happen. unfortunately there is little that can be done other than avoiding these cold situations.
what could be causing an almost hivelike rash to appear on my daughter's skin when she comes in contact with cold liquid. like having a cold bottle of water against her arm makes a raised bumpy rash appear where the bottle touched her. or going swimming in a cold lake. the bumps appeared all over her body.