Recommendation for integrated amplifier for Paradigm Studio 20s v.5

This Hegel H120 would be a great choice and also includes a very good DAC in case you want to start streaming. It’s listed at $2250 but that seems a little high and I’d think you could get it for $2000, but even if not it might be worth a stretch.
https://www.audiogon.com/listings/lisb1da1-hegel-h120-solid-state

On the lower end of your price range the Nuprime IDA-8 is also a nice amp and also comes with a decent DAC onboard Can be had new for $1250 or used from a very reputable seller for $699.

https://tmraudio.com/components/integrated-amplifiers/nuprime-ida-8-stereo-integrated-amplifier-ida8-dac-usb-remote/

Last, and if you might be interested in a little tube magic this Unison Unico Primo has a tube input stage and solid state output, and at $1950 it’s right at the top of your price range but doesn’t include a DAC.
https://www.ebay.com/itm/364023481523

Hope this helps, and best of luck.

You may want to look into a Belles Aria Integrated.  New, its slightly higher ($2495) than your budget....but should be worth exploring.

Sheese!  I have no idea why the Font ended up so large!  Not yelling or anything......:)

There’s a Musical Fidelity A1008 for sale for $1000. Great integrated. Was 6k 10-12 years ago. 

Consider the Vincent SV-500 integrated.  You can swap out the preamp tubes as you like although the stock tubes are very good.  Well within budget, very high value, well built, looks good to boot.  But more importantly it sounds good.  I love high value gear like this.  Very smooth and dimensional, more organic (non-sterile) than other gear in this price range.