OK, assuming all Voltages are relative to circuit ground other than the grid Voltage which is usually referenced to the cathode, then you kind of already know the answer. That negative 2.7 Vdc on the grid is actually the same as a positive Vdc on the cathode with respect to ground, providing that that -2.7 Vdc is with respect to the cathode instead of ground.
You can double-check this with Ohm's Law again. The Voltage drop across 540 Ohms with .005 Amps running through it.
If I have all this right, then, your Heater-to-Cathode potential DC is 2.7 Vdc if both the heater circuit and the cathode are referenced to circuit ground. IOW, well within the manufacturer's maximum spec. And, it would still be within the spec you indicated if you add ~70 Vdc "bias" to the heater supply with respect to ground.
I know I often slip up by not always indicating what a stated Voltage is with respect to. Unless I miss my guess, this is a great example of why it is important to do so!