To be honest I find interesting, that you would use such big mosfet in your design. As far as I understand you are not switching it at high frequency, because it works like a chopper, so gate capacitance and switching losses are less significant. In my designs, where I have to do similar tasks, I usually use multiple smaller fet in parallel. For that 6 dollar Infineon, you could get 8-10 Power SO8 FET, which can switch much higher current, you just have to make sure that you know how to parallel FETs. Not to mention, because you use higher quantities, you get a lot better discounts at the suppliers.