In the field of streaming, usually Large Diaphragm Condenser (LDC) mics are used, which your UR242 can run perfectly fine.
Note that many mics marketed as streaming/podcast mic are USB mics and you don’t want those, you need one with a regular XLR output. These mics need phantom power so be sure to press that +48v button on your UR242.
Other than that, there are a huge number of mics available in your pricerange and I have no experience with any of them, but I reckon most would be perfectly fine for your application. Find one that comes with an elastic suspension mount (sometimes called a spider) that makes sure no vibrations are transfered from the mic stand to the mic.
Like I said I have no experience with mics in your pricerange, but as far as I can tell this would be a great one, and it comes with all the accessories you need (except a stand).
Don’t spend more to get adjustable pickup patterns, you only need cardioid.