Not likely. For one thing, you haven't yet presented anything about the Texas Rangers that is unique to them. For another thing, although they were legendary in the US, they probably were much more understated in the UK, and there's no indication that Tolkien ever had any interest in the American west, or the old Lone Ranger TV show, or anything like that. Not only that, he didn't have to borrow from the Texas Rangers for Strider; he's already got plenty of good old-fashioned European predecessors to build on. If anything, I think Strider is a bit of King Arthur and Robin Hood combined and amplified.