There isn't an alternative that I would call viable.
You can ride the power lines until it hits cow house creek, then you would have to swim. I have never seen it dry there, too close to river.
I have walked between Gator bite and the Jefferson horse trails off 301 when that part of cow house creek was dry. Not ride-able though, and the creek hasn't been dry in at least a couple years. Also, not supposed to bike the horse trails.