Degree
I think the most important question is which one could you really see yourself doing if life as a pilot was not an option.
If you are more Business orientated and enjoy how organisations are run, then go for the Aviation Management degree.
If you enjoy the complex details of Aircraft mechanics and want to understand more about how and why they fly, than that might be the one for you.
I don't think anyone will make it easer to get a job and employers will just see a "Degree". Although, I think Aircraft Engineering will make it easer to understand the ATPL modules.
I picked Business and HR!!
Anyway,
Best of Luck