You could do what's best for you there is wood there and everyone there can get it free of cost or you could also take your own as will we take very little but usually we use what thay got there the ranger's have it cut up on the side of the roads or thay ask you if you would like some wood as will ...
Yes, you can bring your own firewood, but check it first. You don't want to introduce non-native insects to the area. We've always been able to collect plenty of deadfall from the area to burn. Hope you have a great time. Balch Park is one of my favorite campsites. Be sure to check out Hidden Falls while you're up there. It's a few miles away along a dirt road, but worth the drive.
Bring your own if you can. You MIGHT get lucky and be able to buy some from the camp host if they have any, but better to bring your own if you can. Be sure to check for any fire restrictions that may be in place.
Thanks! Your answer is awaiting moderation.