Instead of a hex inverter or comparator as a driver, you might consider a non-inverting gate driver. Common ones work down to 4.5V, with a few even lower.
They are inexpensive, come in small packages, have input thresholds that work with almost any logic family, and can easily drive almost anything. Easily. Why calculate if an inverter or op-amp will have an acceptable rise time and continuous rating. A $1 TC4422 non-inverting gate driver will put out 9 amps peak and 2 amps continuous.
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