Okay, here you go....
This battery bank looks like the fastest "input" recharge I've ever seen. Input current is listed as 5.6A!
30 minutes to full recharge! The downside is looks like it cost twice as much as a normal USB battery bank and output is limited 2A. If you scroll down the page on the link there are other "fast input battery banks" and some that have higher output current listings. Shop and pick what you think would work best for you.
( Note: I'm sure to get that speed you have to use the special included plug-in charger )