Hi, and welcome to the forums!!
What you need to think about is where you are going to be flying and under what weather conditions, because you are mentioning the Inductrix (which I assume you mean to turn into a Tiny Whoop) on one hand which is just a small 1S indoor flyer that will fly outside if there is virtually no wind, and then on the other hand mention 250 class quads which are no good for indoor (t least inside the house). If you are looking at the little micro sized ones, like the Inductrix in size, there are plenty of small FPV quads around the $60 mark BNF with all the camera stuff on them and everything if you want to try out before getting into something more expensive like a Tiny Whoop.
If you are just starting in FPV and quads, then expect to crash, so you should look for something that is resistant in crashes... if you are more leaning towards a larger, 240 class quad, then it might be worth investing in an HMB235 frame from MultiRC, as they are virtually indestructible, and IF you manage to destroy the frame, they will replace it!! Of course, you would need to shop around for the electronics to keep the price low, but it is possible and would last you a long time!
When you say getting into FPV at a low price, what do you mean? Are you talking about just the model, or are you in need of goggles/screen too? If you need goggles, and you hurry, Hobbyking have a pair of goggles on their 11-11 sale still at a very reasonable price!!
https://hobbyking.com/es_es/cyber-november/visionplus-goggle-only-us-24-99.html