I know this sounds a little rough, but I wouldn't sweat it too much. Weekend chits will almost always be awarded in the Navy if you have some special event, i.e. a Wedding, but the point of the training school is to go there and learn as much as you can in as little time as possible. Also, the restricted time there gets most people used to being away from their home which, in turn, makes it a little easier by the time you get to your boat/ship.
I know people will say it all the time and I hated it when it was said, but you are being paid to go to school! Well, looking back on it all now, that is the honest truth.
One more comment... I joined a year after I graduated H.S., so the Navy was sort of my trip into man-hood. When I look back at A-School, NPS and Prototype, I think that those were some of the best times I had! I really had a tight group of 7-9 guys that were 'stuck' together for well over a year and a half. Six of us ended up renting a house together in NY and it was great! I turned 21 up in NY and that was great too. Good times. Wish I could go back to them now.. haha! (with the exception of the whole it sucks to be there studying thing).
-Eric