To clarify, there is no evidence that propane use in confined spaces is "asking for trouble." Propane as a cooking or heating fuel is a long-tested technology, cheap and simple. It is popular on boats and RVs because it works, is easy to install, readily available and universally considered safe.
"Safe" in these discussions is, of course, always relative. Alcohol is relatively safer than propane, though it has its minuses. A well installed propane installation (ABYC-compliant) is certainly safer than a hack job without the proper sensors, splices in the supply line, non-vented storage of the propane cylinder, etc. Eating cold sandwiches would be exceedingly safe and the safest course of all would be not owning the boat in the first place! :nerd:
So what is safe enough? Christian is surely correct, since I know he has in mind a properly executed propane system. (Christian is very maintenance savvy and makes certain all of his systems are installed properly. In fact, once he perfects every system on a boat he sells it so he can buy another boat to perfect!
) Propane would be an excellent option for you--so far as cooking goes-- *provided that* you are willing to install it correctly.
In your case, you are looking for something to heat the cabin as well, so you are probably concerned about not building up moisture in the cabin. The diesel stove/oven combo seems really nice, as it would provide you with a dry heat. (Not that I know anything about boat heaters, being in southern Calif!) But you might want to seriously heed the cautions about the reliability of that unit since any system is not going to do warm you up if it is broken down most of the time. Something to look into at least.
Edit: Sent just before seeing the comments on the moisture issue connected with propane.