There actually exists an induction wok setup. I haven't tried this personally so I don't know how well it works or if it would work for your situation, but it might we worth giving it a go if it means you'd otherwise be happy with an induction range.
If gas/butane/propane is too difficult to come by, I saw this product (Induction Wok) the other day and thought it sounded pretty impressive. Especially for a portable induction stove, which is built specifically for round bottom wok cooking and comes with a round bottom carbon steel wok. Not sure if you can get it where you are, but I think it’d be a reasonable option.
Ye I can imagine that the sides of the wok is a "problem". I was trying to find a good inside alternative to a burner for a while and saw the nuwave induction wok. I wish I could get that but it's just too much of a hassle in Sweden (even if I could get it it would be more problems).
But I still think the heat should be good for it, technically the BTU should be higher on the induction but I'm not entirely sure how it translates. Are you sure the material is optimal? I actually have only used induction stoves at friends places etc (Actually have my own arriving on tuesday because my ceramic one broke down). But to my knowledge some materials are better than others, it also depends on the bottom of the pan/wok.
Even if the heat is a bit lower on induction I feel like it's so much more effective that it would balance it out. I think a gas burner wastes like 40-60% of the energy, so a lot of heat just goes into the grates or the room. But ye, absolutely not an expert and maybe I'll get a rude awakening when my induction stove top arrives on tuesday haha. Wish I could get the nuwave tho :/
Or get s special wok hob like this
https://www.amazon.com/Induction-14-inch-tempered-precision-temperature/dp/B077GL6BJY