Have you tried asking the family member if he or she is angry, upset or wishes to discuss something with you or if he or she is going through something, etc.?
If not I would recommend doing so as the energy you are picking up may not even be caused by nor directed toward you & more often than not your relative may not even realize that what he or she is going through is showing up so strongly in his/her energy field.
You can also wear or carry stones to negate the energy.
Hematite, black obsidian & black tourmaline usually work pretty well in these situations.