Tee!!! My 'Hair Smoothing Queen'
Wrapping affects my hair line too and I realized that. I still wrap but much less often because I don't wear my hair straight as much now. Maybe just one week out of the entire month (or two weeks). The rest of the time I airdry and do 2 pigtails which gives the hair a massive rest and I do notice the difference in adding that 'mini rest period' every month. Also, when I do wrap, I mainly use a very wide tooth comb which I feel is less aggressive than a regular tooth comb. I smooth over with my hands then cover.
Someone posted that an alternative wrap is do a centre parting and pull the right side around the back of the head and pin on the left. Take the left side and wrap around the back and secure on the right side. That way you are smoothing the hair line in the natural growth direction which is MUCH less stressful.
Hope this helps and er herm, if you discover any more 'smoothing gems' you know where to find me.