Integrated amp for 2500-3000

I have a Mint Belles Aria 75 watt integrated...Highly regarded...Superbly musical.

If your speakers need some grunt delivered by the amp Coda, Hegel, Krell, Music Fidelity, Parasound all should provide that extra heft / control.  An all tube Integrated could do the trick but a unit that can might be out of your budget.  Hybrid options are great recommendations.  

Consider the Yamaha A S2200 which can be had here and there for about $3000 (list is $4200 or so), solid-state, of course, plenty powerful and very well built.

Tube amp, a new Willsenton R8 and a tube upgrade would be well within your budget. Stock, it is a very good amp, especially for the money, and upgraded, more than very good (I have one with upgraded caps and resistors and a tube upgrade, plenty of power for 4 ohm speakers.)

I would also suggest the Peachtree Carina GaN at $3000. Complete integrated with DAC. Plenty of power--200W--and an excellent performer.

This will work well with your speakers and you save money.

https://www.usaudiomart.com/details/650090860-musical-fidelity-m3si-integrated-amplifier-black-faceplate-nib/

Maybe a used Hegel H360, the used H390 would be a budget stretch.