I might do it, I would want to know what the axel ratings were vs just the gvwr. But being as the OP has decided NOT to get the trailer.....we will never know how well or not it will tow. Personally, I think it would do WAY the hecko better than most of you think it will. My son has pulled 7-8K lb trailers with his 4 sp 3.42 geared 1500 GM, it does just fine. This newer ferd with the 6 sp should do even better yet as APT pointed out from a gearing standpoint. Besides, the motor in the OP's truck is probably around 300 hp! better than the 7.3 psd many of you like to say is one of the better motors. So it has a few more lbs of torque, but again, would bet the 5.0 is putting an equal amount to the ra with the gearing this thing has vs what one had in a 7.3psd! or an early cummins, or gm 6.5 etc. 
Heck, I used to pull this with a 105/274 292 I6. Or upwards of 26K with a 175/330 non turbo diesel..... I would sorry about the chassis more than the drive train.
Marty