Gordy-
Welcome to the permies forum. If you are able you need to get the new 3rd edition of the
rocket stove heaters book here
RocketStoves.com
It will give you a lot of info about designing a
RMH.
As far as a hoop house goes of the given dimensions, an 8"
RMH system might work. It's maximum exhaust duct length is up to maybe 50ft or~16m.
There are a lot of other factors involved in designing a hoop house with a RMH for heat.
Using the formula A/R x deltaT=BTU/Hr: A= surface area of structure, R=insulation "R"factor (typical 6mil plastic cover is R=1) Delta T is the difference between outside temp and desired inside temp (deg F)) This will tell you how much heat you need to heat a given space.
A quick example using your dimensions covered with 6mil plastic- approx area=900sqft /R of 1=900 x 70 (0deg outside 70deg inside) =63,000BTU's/hr. This might be a low temp, but worst case is a place to start. A typical 8"RMH might produce 75k BTU (this can vary considerably) so you might have a bit of a problem storing
enough excess heat beyond the immediate needs to maintain 70deg F.
First suggestion I would give is to have 1 long side facing south and more heavily insulate the north side and the ends.
Straw bales as an inexpensive example.
Second don't bury the RMH duct in the ground unless you're prepared to do a little more work isolating/insulating it from the surrounding earth. Having the mass above ground and under the grow beds is a good option. Also consider using
water for the thermal mass (besides the AP fish tank).
The grow beds and fish tank will help in maintaining the heat, but they will also need to be heated too.
Quite a bit to think on so let the questions fly