Does anyone here have experience/opinions on induction hotplates?

I live in what is basically a studio apartment in someone's basement with a little cobbled-together kitchen in a small room attached to my bed/sitting area. My cooking is done in a largish Cosori convection toaster oven (mine) with a double-hob induction hotplate (kindly provided by landlord) sat on top. The hotplate is from Nutrisystem (not sure of model exactly) and it's definitely a step up from the electric one I brought from my old place (My kitchen was the laundry room there!), but over the last few years there's been a few things about it I don't like so I'm considering buying a new one.

The main problem I have with it is the lack of specificity in the temperature settings: it goes 140°, 210°, 260°, 300°, 350°, 400°, and above that I never really use, but I often have trouble with something cooking too fast at, say, 300° but too slow at 260°. I'd like a device that lets me make smaller, (like maybe 5-10 degree) adjustments at the very least. Also there is the issue that if you go above a certain temp on one hob, it will dial down the other automatically to keep from going over max watts, but it also means I can't boil water on one while searing a steak on the other. Not sure if there's a way around that what with the limitations of current portable cooktop technology and American house wiring codes. As you may have gathered from my living arrangements, I need to keep the cost down to a reasonable <$300, preferably <$200.

Because it needs to sit on top of my toaster oven, I need a side-by-side arrangement. I was gifted Amazon cards for Xmas so I'm hoping to find something on there to defray the cost, but if anyone can point me to the perfect solution somewhere else, I'm interested. Everything I've looked at there so far has preset temp settings and I can't tell if they are fine enough to be any improvement.

Bonus points if anyone knows of an induction-compatible stovetop griddle that heats evenly and isn't heavy-ass cast iron.

Thanks in advance for any advice!