3.5" magneto-optical drives (Fujitsu DynaMO, Olympus and Pinnacle somethingorothers) are pretty rugged, dirt cheap in surplus these days, and there's a fair bit of documentation out there for using them with the Amiga. (The Bernoulli should actually work the same way.) Media isn't the cheapest or easiest to find and they're nearly as slow as floppies, but at least there are ISO standards for it, and couple pieces off eBay should be enough to back up quite a few Amiga files.
In this day and age, you might want to not pass go with the tapes and such, and go straight to cold-swapped IDE drives or the USB enclosure route (or, for 1GB, CompactFlash or USB Flash sticks). It's hard to beat the economics of it in the general PC space (200GB drives going for $50 after rebate, "indestructible" 1GB Flash sticks falling to simialr prices), and the durability and interoperability are pretty good.
Heck, you can probably get a box of 'small' (4GB?) SCSI drives for the same price as a box of Bernoulli carts.