I have an LTD MH-350NT and I was playing it in a drop A tuning and it held up just fine. I would go with the LTD, but that's just my preference and I am pretty biased towards them lol.
I've played both Agiles and Schechters too. I've never really liked Schechter necks, and to me Agiles feel a little bit flimsy. They are all great instruments and they play really well, but to me LTDs feel the most sturdy and I've beaten the hell out of enough of em to say they're solid work horses.