Traffic and Crowds are not my thing either.

I am no help on the east side however on the west side we love Carol's Café. Also there are lots of mine roads just east and south of Mulberry like Bonnie Mine Road, Agricola Rd and 555. Very open, pro solitude therapy. I can put together loops if you want to venture in that area. Maybe TJ can chime in as well. What are the dates you will be in town?
Carol's Cafe Restaurant
Address: 113 W Badcock Blvd, Mulberry, FL 33860
Phone:(863) 869-9155
Hours:
Open today · 6AM–4PM
Wednesday 6AM–4PM
Thursday 6AM–4PM
Friday 6AM–4PM
Saturday Closed
Sunday Closed
Monday
(Presidents' Day) 6AM–4PM
Hours might differ
Tuesday 6AM–4PM