With some of the Katz family of networks already on full powers in your market, they'll be least likely to affiliate with your DTV America station.
That said, the other nets plus those typically seen on DTV America stations are more likely to affiliate. The most common seem to be BUZZR, Katz's, the QVC's, NewsMax TV, SonLife, Estrella TV, The Country Network, and something called The Liquidation Channel.
It sure looks like of the DTV America-owned stations in the Lafayette market, K36MG-D would be best for reception. That's assuming they don't try to move a transmitter closer to Lafayette or an increase in power. They could use both. Chances are, they'll also go for a call letters' change as well.