Index Reorgs Blocking Statistics Updates Blocking Inserts
Here's what I'd try:


Reschedule my reorgs to occur outside of data loads
Change the threshold that I reorg to a much higher value than the default for Ola's scripts (5%) to something like 50%. Also crank rebuilds up to 70 or 80% if you're using them.
Stop running reorg and rebuilds all together, and just update stats after a data load


Update:
For auto update stats, you could


Turn them off during data loads, and back on afterwards/after stats updates run from your job
Leave them off and run stats updates jobs at regular intervals during the day


Hope this helps