Your choice. Entrance from the north is fine. the road through the park isn't all that bad till you get to the lodge,then it is a cluster at the junction and narrows down. There is a about a 6% grade downgrade that is 3 (?) miles long before you get down to the campground, watch for fallen rock. It has several 20-25 MPH turns and a couple that are slower, so don't think it is a freeway. I have done it several times towing our Focus, (RIP Little Red) you will be fine. Just take normal precautions.
There is a couple of pullouts when you get to the lake,but it can be problematic if you can squeeze in, also there is oversize parking at the Lodge/visitor center but lot of people think their Yugo is a large vehicle and park in them. The spots a rather tight and not real long and there is maybe less than 10 of them.
I think the loop road is closed this year due to sourly needed construction o the trolley's might be the way to go. They likely run them then turn around at construction.
Snack bar at the visitor center is decent but pricey. The restaurant down by the campground is surprising good and the prices were in line and service was great. Stop in at the lodge and look around, great view of the lake and the construction is amazing. Food at lodge is great too, but be prepared for the cost.
47 years ago this month my wife-to-be (We didn't know that yet) and several of my family members woke up to about two inches of snow at the Lodge. They were playing Christmas music, saying Merry Christmas. Good times!
Enjoy the stay at campground, it is nice and quite.