You should try induction sometime. Convective electric is very slow by comparison and I have struggled with it myself for many years. My current cooktop can take a 10" iron skillet from dead cold to smoking hot in under 30 seconds using the maximum setting.

Only caveat with induction is the distance to element & cookware material constraints, both of which can usually be overcome with little difficulty.

I have a cheap 1500w portable induction cooktop I used for this exact purpose. On the lowest setting, it only pulls ~300W AC, so you can run it on the smallest of generators or portable power stations without any problems.

I have a 12,500W generator as well that could easily run my main induction range, but I reserved loading on this for making sure the furnace blower was moving. Didn't want to play games with fuel supply at the time.