Integrated amp for 2500-3000

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.

Cary Audio has an ss integrated amp, 75 A/B wpc, with streamer that has Tidal, Quboz, and is Roon ready. It has an equalizer that can make things better for those times when you want a fun sound or to make up for room acoustics. Pre-Out and Main in with option to include DSP. It is also exactly in the price range you are looking for and New. 

I have had one for 7 years and Very pleased with the performance.

Don’t dismiss the Yamaha integrateds at this price point. They are much quieter than most of the aforementioned alternatives and thus more resolving (yes, noise floor matters). The 2200 can compete with many separates systems under combined value of ≈$7K, therefore it’ll be ready for if/when you ever upgrade speakers. I’ve owned about half a dozen popular integrateds in this price range and none have given me more musical satisfaction than the 2200 or 2100. The former is tonally a little warmer than the latter but both are excellent values on the used market. Actually, you can find new-in-box 2200s for about $3K from some of the B&M dealers.