Do they want power... as wattage? Or need current?
This concept of "Power Hungry" speakers is silly. I've never seen it quantified beyond speakers that present a difficult load due to low Impedance at low frequencies, and with a poor Phase Angle.
I agree that this Amp is perhaps not the right choice... but OP will need to determine that on his own.
To the other point... I am not an EE, and am doing my best to learn.

Do you have some explanation for "Power Hungry" that you would care to share, please?