What you are looking for isn't an FPV drone in the cheap range by your requirements. Cheap FPVs are all racing types - they aren't stable and their cameras aren't good.

You want a camera drone, something like a DJI mini. That is stabilized and has a longer battery. If you want one that is also FPV you'll pay a lot more for it. Cheap FPVs and camera drones are in the three digit range. If you want something that is FPV but also has a good camera and long battery you'll have to add a digit.

What you are looking for isn't an FPV drone in the cheap range by your requirements. Cheap FPVs are all racing types - they aren't stable and their cameras aren't good.

You want a camera drone, something like a DJI mini. If you want one that is also FPV you'll pay a lot more for it.