Bless your heart. Well, when I ended up with a leak (it wasn't from snow melting, my upstairs neighbor had his mother living with him and she forgot to turn off the water after she stopped up the sink!) I had to cut some serious holes in the ceiling (12"x12") in a few spots to make sure that the ceiling dried properly. Leave it open for at least a week otherwise you could end up with mold and that's something you definitely won't want to deal with. Also, you may want to just cut out any of the ceiling that has a water stain because I tried over and over to cover up the stains with every stain blocking primer on the planet and eventually they all just bled right through. Then you can fill in the holes by cutting pieces of drywall to fit in the holes you created. The way to attach them is by using a 1" x 2" that is cut to go across the hole and past the edges of it by at least 2" on either side. Then attach it with wood screws that are long enough to go through the dry wall and securly into the wood 1" x 2" piece of wood. (A trick to doing this is to have someone else hold the wood while you are drilling into it. Then counter set it, which means sink the screw head below the dry wall surface, so that you can easily fill it in.) Once both sides are attached, then place the properly cut and sized piece of dry wall in the hole and attach it to the wood as well with wood screws. Then fill in any holes or gaps with dry wall mud using a wide mud knife. It may take a few coats to fill it all in just make sure to lightly sand in between coats.