Cheaper, close to your budget are Marshall's JCM2000, JVM20 1, box head+box 15000 or so, with classic distortion and wide users. Peavey's 6505, a very famous metal speaker, has obvious high-frequency graininess and is closest to the price range you gave. In addition, Krank's REV SST200W is also within your price range. It is a very good metal speaker, and many metal bands use it like Krank. In addition, don't forget the classic American metallic Randall in the 1980s, which is still signed by matellica, and the price is affordable. El diablo of Genz Mercedes-Benz also has very dense high-frequency distortion.
Finally, I would like to recommend hd 147 of Line 6. This is a 300W box head, which has many self-contained effects and is used by many bands. Listen to the metallic sound of Evanescence coming from this box.
The top box head and box should probably be more than 2W, and the prices below are all around your price range. If you find that what you like is more expensive, put the money in the box. For example, Laney, Crate, Behringer, Peavey, Randall and so on all have relatively cheap boxes. The advantage of high-power 4x 12 speaker is that the sound is more dynamic and firm. This is beyond the reach of 1x 12 and 2x 12combo.