I have never heard of turkey mites( lone star ticks) but here is what I found.
Home treatment of turkey mites is a fairly simple and painless ordeal. Pick up a bottle of lice shampoo at your local supermarket. Take a shower or bath and wash the affected areas thoroughly with soap and water. Towel dry and then apply the medicated shampoo to any red, itchy places. Massage the shampoo into the skin and allow it to dry completely. Repeat this treatment as often as necessary; it will help to reduce the urge to scratch and help prevent the spread of the mites to other areas of the body.
Continue treatment with the shampoo for at least once a day for three days to ensure all living mites have been killed. In the meantime, collect all bedding, linens, and clothing items you have worn or come into close contact with since the probable time of infection. Wash all of those items in hot water, strong detergent and a generous measure of chlorine bleach. Dry all items in the dryer, with the temperature placed on the highest possible setting.