to note, i'm rather biased when it comes to pc components. i only list intel chips and asus mobos.
i was able to get the price very close to budget. "if" you don't plan to OC very high, you could get away with a cheaper asus mobo like the prime Z390-P
https://pcpartpicker.com/list/P43BFGto get it cheaper, you could use the i3-9100F. $120 cheaper chip, you also won't need an after-market cooler unless you plan to push that chip to it's max. (even then stock "might" be ok, but i'd advise an after-market cooler at that point)
https://pcpartpicker.com/list/bCW627someone will probably get an AMD build sooner or later if you're looking for that.