You might check out the cabins at Beacon Lodge/Campground. Very affordable, good launch with some great, even protected, areas within paddling distance; large coves, an old town, and tree lines along the river. For grins buy a Mexican fishing license and paddle straight across to the woods on the Mexican side. Really good looking water but I hit it too early (mid-Feb) last year and missed the spawn. With the way this winter is going you might plan late February instead of January.
Have kayaked fished Falcon in the spring for six years and even tho it's not what it used to be it's still a blast and combat fishing at its best. And you can forget the milk crate with rod holders; it's two in the hull and one on deck or you'll spend more time fighting the thorns than fishing. Regardless, get back in the bushes and wade the shallows where no lure has gone before. Unless of course you hit a really warm spell and the moccasins' have set up nests; an easy determination since they get aggressive whereas they normally just hang out in the trees or swim away. Or at least I think they're swimming away. Good Luck.
What if the white light is just some kind of cosmic fishing hole and God loves us because we taste good.