Based on the sketch and budget, your best bet if you have to buy new is to provide all that money into top speakers. Then later double that much into subs.
Since you said speakers, not amps and DSP, look at passive and efficient. New Danley SM80's, used Community SLS920's, etc. If you include amps/DSP budget, maybe RCF TT5A's. Even used SRX/QRX.
Not ideal, but close to your parameters, and if operated within limits, should work well.