First of all, 8 degrees Celsius is about 14 Fahrenheit -- that's a fairly big temperature swing for a home. I could only imagine that happening at Arm of the Spiral after several days of cloudy winter weather (no solar gain). But even if you cut that swing in half, 4 degrees Celsius, you'd still want to have a mechanism for taking the chill off, at least if you're a wimpy American. We live at 6000 ft. altitude (1828 meters) with winter temperatures getting as low as -20 degrees F (-28 degrees C). At our latitude and climate, we enjoy a strong and dependable sun, but if outside temperature stays steadily cold or we go several days without sun, we need a backup source of heat.
So why radiant floor heating? For many of the same reasons as building in a thermal solar mass inside your home. Basically, if you heat an insulated concrete floor, you're "charging" the concrete mass with thermal energy and it radiates heat throughout the day. This time of year, our furnace comes on for about 1.5 hours early in the morning. Then the sun takes over for the rest of the day into the early following morning. If you heat the air only, you get no radiant effect. Radiant floor heating is deliciously cozy and energy-efficient.
As far as slow-combustion stoves, I assume you mean wood-burning stoves. We have a stove because we like to sit by a fire. It's not an efficient heat source, but it warms the room nicely and if we're sitting beside it, it does a fantastic job of heating us without heating the whole house.
Conclusions: While a straw bale house certainly dampens temperature swings inside, it doesn't eliminate them. Passive solar along with thermal solar panels could eliminate the need for burning fossil fuels, but still, the best way to use your panel hot water is to put it in a floor system or old-fashioned cast-iron radiators. Heat a mass, not the air. The old saying that "You can heat a straw bale house with a candle," is a nice saying, but doesn't bear out in reality.
Remember that even double-glazed windows have a single-digit R-Value compared to straw bale walls which have an R-Value of 42. Therefore, you lose heat out of them in the winter, or conversely, gain unwanted heat in the summer. Be conservative with your south-facing windows (north-facing for those of us on the Up-Over side of the world). If you've got a nice view to the shady side, plan on stepping outside to enjoy it, or plan on viewing it out a 12 by 12 inch window. Calculate the correct amount of glass area on your winter-sun-side so you get correct solar gain without over-heating. Build eaves and overhangs properly deep to shield you from summer sun. Build only as much square footage as you need. Finally, don't forget to super-insulate your roof or attic. Straw bale walls are fantastic, but heat travels up, and if you don't meet or exceed your wall's insulating qualities, you're losing that hard fought-for thermal conservation.