Yes, there are ways from Woodworth to Ft Polk other than Hwy 28. You need to get yourself a MAP or try this online map site
MSN Maps & Directions. Using it I can see routes from Woodworth (head south toward Glenmora and then westward to Ft Polk). to Ft Polk is "about 58 miles" from Woodworth using this route.
Would it not be a good idea to RENT until you can find a place you like to buy? Surely there are houses in Leesville for rent.
Take a look at this (city-data) web site for information on Woodworth.
http://www.city-data.com/city/Woodworth-Louisiana.html
Personally, I think you could get a LOT closer to Ft Polk than Woodworth. Good Luck.