As mentioned above if you can get to 325F or higher you can avoid rubbery chicken skin. It's a temp thing not anything you are doing wrong or wrong with the meat itself.
Also as suggested you can smoke under 325F and then throw the chicken on the grill over flame to try and crisp up the skin or put in the oven to broil the skin. I haven't been successful with the oven but I must admin my attempts weren't very methodical.
Another thing to know is that chicken cooks quickly to an IT of 165F so it may be finished in under 2 hours and maybe around 1 hour for cut up pieces.
This means you won't have that much time to apply smoke. I use an electric smoker with the
AMNPS so I just light two rows of pellets to double up on smoke and I get great smoke flavor in the short time period.
If you are practicing for turkey smoking then you will want to go ahead and brine this chicken.
I do a super super simple brine of 1/3 cup of salt ( I use whatever I have on hand) and put that in a blender with at least 32 floz of water and blend until the salt dissolves. Put the chicken in a bowl/tub and add the salt water in with it and then add water until the chicken is covered with liquid. Brine for 24 hrs because that is basically what is recommended for turkeys and works fine for chickens too.
Once you are done with the 24 hour brine pull the chicken out and dry with paper towels and then season the chicken with all of your seasons EXCEPT salt, it has soaked enough up already so doesn't need more.
I also like to season under the skin of the chicken breast.
Smoke and enjoy. I like to use a vertical chicken/turkey smoking rack and that helps the skin out.
This should give you the experience of what you need to do for smoking turkey and it will give you ideas on what you would like to add or do with your turkey brine since the simple brine is the foundation to start from.
Oh I also recommend you set a pan under the chicken to catch the drippings if you are going to pull and shred the chicken mean.
Best of luck and show us what you come up with :)