Their private water is for bass. there isn't any private water for trout there. But it might be an option.
If fishing is the main focus for spring break then you may want to look at a lake trip if you are going to Beavers Bend/Hochatown or be willing to start early, make the best of it and just shake your head when some knucklehead has his kids start throwing powerbait (or rocks) right in the spot you are fishing.
The area is really pretty, and the trout fishing can be good but it is severely overbuilt with rental cabins so everything from river access, to hiking trails and restaurants get too crowded on weekends and holidays.
It is pretty common on Sunday mornings to be bumper to bumper for 10-12 miles from Hochatown through Broken Bow as all of the Texans head home.
It is estimated that over 60,000 tourists are there on peak holidays. But it is a shorter drive from DFW than any other option.
The Guadalupe will be crowded but has more fishable water and most guides use a raft so there are more options to get away from the herd.
The Mountain Home, AR area ( where I live now) has over 100 miles of some of the best trout fishing in the country on the White and Norfork Rivers and the Little Red River has 29 miles about 1.5 hours south. If you have someone under 16 then Dry Run Creek at the base of the Norfork Dam offers the largest average size and most trout per mile in the world. But it is 8 hours drive from DFW.