Hi believing. I would call the pharmacist to find out. I don't know if Minocycline causes the same degree of sun sensitivy that Doxy does. Doxy can cause severe sun sensitivity to the point that some people on Doxy get burned knuckles from the sun coming into the car when they are driving! Doxy can also cause the skin to feel prickly in the heat.
I recommend finding out first so you and your daughter do not get a severe burn.