First, I'm sure there was some effort to balance heater power to air movement as the device was designed. I'm guessing they picked something like 390W or more of heating power and under 10W to move air.
The reason for this is, a person need their skin temp to feel 80°F (27°C) to feel warm in the presence of a gentile breeze. The stronger the fan, the more air volume has to be heated so, 400W can't heat large volumes of air above 80°F and the air will feel cool to bare skin. At lower fan speeds, the air is in contact with the heater longer and can heat the smaller volumes of air to a higher temperature (as yours does).
So, the simplest answer would be to buy a more efficient fan, like those found in PC power supplies, and hopefully it moves more air than your current fan - but that increased air volume will not be as warm as the lower efficiency fan.
But, if you do want to modify the board to raise the output voltage. You'll need to figure out the part numbers on the 7-pin chip and the other semiconductors on your board. I'm guessing the 7-pin chip is a voltage/current regulator. You'll need to change a couple resistors that make a a voltage divider and set the voltage at the V(sense) pin (or similar strategy).
Here is a typical device family...