Recommend Affordable Integrated Amps (Solid State or Tube)

Check out the Musical Fidelity M6si...its a powerhouse with a great design.  Its solid state but has a smooth punchy delivery that I enjoy. Its design is basically two mono blocks inside one chassis.  Havent tried the phono stage but also use Musical Fidelity NU Vista Vinyl phone pre....also a great unit.

I currently have the original Parasound Halo, which replaced a Peachtree Nova 100W.  The Halo to me sounds much better.  Also, about six months after the warranty expired, the Peachtree started to self destruct.  When unplugging some cables, two of the sleeves for the RCA connectors broke off the unit, and the digital inputs started to act up.  My unit, obviously was a lemon, and may (or may not) be indicative of poor quality control.  

My speakers are Tyler Acoustics Highland H3's and the room is 24 X 28 with 10' ceilings. The Hint 6 drives these with ease. If you need more power just biamp with a Halo 21. Other components are an Oppo BDP 105 and a Harmon Kardon  T65C turntable. 
The Hint 6 can be bought for less than retail if you shop around. I also owned two of the original Hints and liked them very much as well. 
I never could afford the most expensive components but always tried to find the best value for my money.
Obviously we all perceive sound differently and all rooms are different in the way they react with speakers and components. If you can, try what you can at home not just in a show room. 

Hi guys! I'm considering purchasing a used E-560 for USD 4000 to drive my Elac Adante AS-61. Im quite new to this hobby, so I'm hoping to be able to get some advice from more experienced listeners here. Do share your thoughts. Thank you 🙏

Just some background, before I saw the E-560 on the used market, I was planning to go for Parasound Hint 6 or Parasound P6 pre and perhaps A21 / A21+ (that's apparently coming out in a couple of months). Right now I'm just using a Yamaha Aventage rx-a1060 AVR so it's not ideal for music listening.

Sounds like you are maybe looking for 1 box to fill your needs.  If not, I'd look to get something with tubes with a separate phono stage and DAC which I believe would be much superior to any SS integrated listed above.  Just my opinion.  BTW, I also have a Linn Basik/Akito with an AT95E cartridge.  Great table for the money.  Previously had a Thorens TD125 mkII/Rega RB303/Grado Red and can very happily live with the Linn...