It sounds like you still want an inverter to provide AC power to the blower. Seems like a simple matter, especially for a smaller motor. For something like that I would probably go with a 1,000 watt pure sinewave inverter, instead of the cheaper modified square wave ones, which do not provide full RMS power to the motor. Modified square wave is likely best for shaded pole motors or resistive heating, incandescent bulbs, low grade applications, most of which are better done with straight DC.
It would be nice to have significant onboard AC power, 3,000W should be sufficient to start a skil saw, but price ramps up for true sinewave.
Probably best to have a second battery in parallel, supposing there’s space under the hood?