There are many racing wheels around this price point, and while going for a new Racing Wheel is usually the better option since most Racing Wheels have a limited amount of playtime, because everything wears down over time, this is also the price point where you can find some higher models that are already used and go for a lower price, while I am not going to recommend them here, you will be able to find some Thrustmaster and Logitech used models around this price point.
This will be the cheapest Logitech option you will find these days, it is also the only model that comes with an included shifter. This Racing Wheel has proven to be a very successful model.
People usually get confused when they see both of these models, but they are exactly the same, except for the consoles they are designed for. The TMX is made for the Xbox One, and the T150 is made for the Playstation. If you plan to use the Racing Wheel for your PC, you should just go with the cheaper option.
Earlier I said I didn’t want to list used items in this list, but the Logitech G27 is a Racing Wheel that is still very popular, but not officially in production anymore. Because of this, it is difficult to get these new, and it is better to search for this as an used product. Since this wheel cannot officially be bought anymore, but is still so respectable within the community, I felt like throwing it in this guide. While the Racing Wheel is fairly old, it still does its job quite well.