The BD does drop 3 of the 4 types of tokens. It drops the silver ones more often though. Gold ones maybe 1 every 7-10 days-ish, so rare-ish. If you're maxed on the silver tokens you'll get the black side bar notification and in that case, yes, only money coins drop that time.
I bought one when first released, so get the black bar most times, but for the chance of a gold token I collect every day anyway. So, keep collecting and zoom in so you see your drops. 1x1 items seem to stack more when items drop. Let us know how you get on. At least with the next hunt days away, you'll be able to use your silver tokens up.