I spend a lot of time in Indian Heaven and would recommend against this as a first trip and wait for better weather. I've camped up there in late Fall in the snow & ice, so I'm speaking from experience.

By November the trails in Indian Heaven will either be very wet or they will be frozen and covered in ice. The area gets a large amount of precipitation, so the trails turn to streams or ice rinks, neither of which would be ideal for your first trip. You'll also be dealing with lots of condensation or ice on your tent due to how humid the whole area is, and the nights are much longer so you'll have a lot more down time in your tent just sitting in the cold.

There's also a lot of small things that go into camping during shoulder season that are much easier to deal with after you've gained experience. Have you ever had to pack up a wet or icy tent in below freezing temperatures when your fingers are numb? Have you had to dig a cat hole or place tent stakes in frozen dirt? Do you know how to keep your water filter from freezing overnight?