Marjorie, unfortunately there aren't any hotels or motels within walking distance of Deer Trail in Deer Creek. There are motels a few miles away, and short term rental condos at Timberwoods on Beneva at Sarasota Square Blvd. Most other vacation rentals in the area do not offer short-term rentals. http://www.booking.com/hotel/us/timberwoods-vacation-villas.
I think that the distance between Timberwoods and Deer Trail is walkable.
If you have questions, or if I can help you in any way, please feel free to contact me. I live and work on Palmer Ranch, and should be able to provide you with any information you may need.