Would be great to meet some new Jeepers... don't know how long you plan on being around or how many trips you want to make.
SMORR is great for a weekend with plenty to do and see. hour from Branson.
CHADWICK has some fire roads that are not challenging, but a lot of fun to do with a group to just get out and see the woods. (even great for stockers) and that is an afternoon.... 30 min from Branson.
IF you want to hit another cool place on the way home or another daytrip
http://www.orvpark.com/ Superlift Off Road in Hot Spring, AR is another world famous Park. About 3.5 hours S of Branson.