if you do everything yourselves and do not want to completely renovate, the money might be enough. We completely renovated a house from 1976 (or are still in the process) and had 60k. But we also did a lot ourselves and are still doing so. There are still remaining amounts missing, and that without new bathrooms.
With sufficiently cheap wood, I would not choose a tiled stove but a log boiler, possibly a combination boiler that can also use pellets. An inexpensive model (inexpensive = more manual work and less automation for cleaning, filling, removing ash), for example from Atmos, costs around 2500 euros plus installation, buffer, etc. In that case, however, it makes no sense to only want to heat 2 rooms with it.
Even with a modulating water-carrying fireplace stove in the room, if you don’t have a heating room (which can be the case if none existed before... and such a boiler cannot be placed anywhere, keyword flue pipe routing...), the output is so high that underfloor heating for only 2 rooms would be a waste.
The fireplace stove in the living area has the advantage that it transfers some of the heat to the air in the room and only part to the water.
I would then cover everything possible with wall heating (then there is no mold!! the wall heating mainly goes on the external walls) and underfloor heating. There are dry systems that are comparatively thin and do not bring moisture into the house.
If you want a grant from [Bafa] (we got 2900 at that time), then I recommend a pellet stove with water heating. Fireplace stoves with logs are unfortunately not subsidized, at least that was still the case back then (2013).