It's harder to find high profile caps in the budget you want that do have korean sublegends. Cherry profile is your best bet there when finding them. I personally recommend JC studio, which have insane value for the price which is 30-40 usd for them (you can find them on taobao, under the name leekbrothers for 20, but shipping will be expensive and it can be harder to find order cause it's best to go throught superbuy). They only sell beige sets though so if your looking for colour sets than look out for nicepbt, NK keycaps and some keykobo sets which fit in those price range.
If you really want monochrome, maybe the aftermarket could be a good option if you really want KAT profile. People aren't flipping caps too hard anymore so you should find at least a tkl base kit for under 100. Just make sure you understand the risks and be safe when dealing with third party sellers.
What are these ChatGPT NPC's doing here lol.
Everytime I go on gh (especially the keyboard page) there are at minimum 3 posts which were 100% spam posts written by AI, with random links. They are so common on gh. I remember genuinely replying to one and feeling really stupid by the end of it. At least it's easy to see that they are bots.