Try Etihad. You could fly LAX-AUH in F for 90k AA each. It is one of the best flying experiences we've ever had. This past summer we did IAD-AUH-ATH in F then J. It was a bit out of the way on our journey to Mikonos but worth it! Rihad F is awesome. On the way back we used UA miles to go ATH-MUC-IAD IN CA J and then LH F. That part had to be planned last minute due to LH F awards only bring released within 14 days prior to departure (there are a few rare exceptions to this as we've just seen out of MEX and YYZ.

Get creative with your routings and you should be able to make it happen.