You folks are in a tough place. Initial costs for wood heat are high due to the infrastructure costs of the chimney, alcove buildout, hearth building, the stove and finding seasoned wood. Check current propane prices first. They have dropped dramatically this summer. In some areas it is at a record low. If you find that propane is cheaper than thought (say less than $2.50 a gallon) I would consider that strongly, especially if the RV already has a propane heater built in. Be sure the system is in good working order and make sure the propane leak detector is working well and newer than 8 yrs old. If not, replace.
The problem with such a small space is that only a small stove will be required, but small stoves usually have short burn times. That could mean feeding the stove every few hours to stay warm. That said one stove to look at would be the Englander 17VL. It is shallow, has reasonable clearances and is low-priced. It normally requires a 15ft chimney, but at 9000 ft I suspect it would be happier with at least 20-25ft of chimney. There is no hard rule here. Different stoves breathe their combustion air at different rates. The other stove that would be good, but maybe a budget breaker would be the Blaze King Sirocco 20. This is a catalytic stove that can be run at a low and slow rate for long burn times and heat.
Download the manuals for these stoves and look at the alcove installation requirements. Pay attention to all dimensions including ceiling height. Also note all mobile home requirements. My concern with doing an alcove for the stove are clearances and support. Wood stoves are hot and heavy. The alcove ceiling would need to be strong enough to support several lengths of heavy chimney pipe. You may want to think twice about this route given the temporary nature of this dwelling. It simply may not be worth the investment, you'll have to weigh the cost benefits. The stove is going to run between Some of the parts could be reusable in the new home like the chimney and the stove.
http://www.homedepot.com/p/Englander-1-200-sq-ft-Wood-Burning-Stove-17-VL/202051504
(broken link removed to http://www.amfmenergy.com/50tvl17--epa-certified-noncatalytic-wood-stove--1250171200.html)
(broken link removed to http://www.blazeking.com/EN/wood-sirocco20.html)
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