Watch the tutorials on their site
https://www.bitquick.co/how-to. According to it, you really do have to deposit the physical cash yourself
. SO The trick is to not go to bank on Sundays or when it's closed LOL. just clear up some of your sched and plan the said thing.
Anyway, you could use another site with a wide variety of payment methods, like what you've said, localbitcoins, or you can also look here:
Currency exchange