re: How enforceable are non-compete clauses in LA?

You have a little problem - if you ask your current employer for a copy of their non-compete, they are certainly going to figure out what is going on.

If you have a co-worker similarly situated and you trust that co-worker, you could ask him or her for a copy of their non-compete. It is likely they are the same.

The farther away you are from your current market, the less likely the court will enforce them (but bear in mind that some recruiting companies have specialized national markets),

If, for example, you are recruiting in Baton Rouge and all of your employer clients and placements are in BR or NOLA, then I doubt a court would enforce a non-compete that would extend into Shreveport or Dallas.

Of course, I haven't seen your non-compete and I cannot provide you with specific legal advice on a message board.