Welcome to the forum!
Like Andy, I was also going to ask you if the handle unscrews? And how hot that handle is rated for? Usually those are rated fairly high, since woks are used on high heat, and often have gas flames coming up the sides, so maybe it will be high enough to oven cure it. Just because it's cheap doesn't mean the handle won't be heat resistant.
If oven seasoning doesn't seem like a good option, do you have a gas grill maybe, with a side burner you could cook on? Or even on the grill itself, to season it? Anything to heat much of the wok up, would be better than sitting on an electric burner. Or maybe you have a friend with a gas range, you could offer to cook some Chinese for them, if they let you season the wok there! Once it is seasoned well, you won't have to worry about it - just use it frequently, to keep it seasoned, like cast iron.