Matt Walkers has a riserless rocket, Peter is hashing out his double shoebox rocket, and 8" batch box rocket can perform cleanly with 24" risers.
Given that these things violate what has or does pass for "conventional wisdom " in the rocket stove world, I suspect an inverted riser could work.
Is it your best choice?
Well, even without trying something that new, let's talk about some other choices beyond a barrel and J.
Matt's riserless core kinda twists the riser in a knot, the flame path goes downward and sideways as well.
He has a nice design which pairs it with glass salvaged from an electrical cookbook to make a cabin stove.
Peter's shoebox takes a standard batch box heater, chops the riser to match the height of the burn chamer, and exhausts it into a horizontal box setting atop the burn chamber.
He is still experimenting with it, last I checked, so details will change.
Peters original calculations for an 8" batch box called for a riser 58" tall.
This thread:
http://donkey32.proboards.com/thread/1845/scandal?page=1
revealed to us that a roughly 24" riser would do just fine.
Check out Donkey's Forums for more discussion on things that seem unlikely, but work none the less.
http://donkey32.proboards.com