I use a pair of Adam A5X powered studio monitors and they're superb. Built like tanks with carbon fibre main drivers, and ribbon tweeters (look them up) and and a very clean, neutral sound - but still have a kicking bass when they need too.
For the interface I've got a Steinberg UR22 MK2 (24bit/192kHz) and it more than holds it's own, especially for the price. It's actually made by Yamaha and uses their excellent "Natural Sound" pre-amps. It's not pretty but it is a great piece of kit.
Both are within your budget... just, if you shop around
The Adams are ~$450 each, but cheaper if you shop around and find a deal. If they're a bit pricey look at the smaller A3Xs.
The UR 220 is about $80-90 but again shop around.
Cable options for the speakers are balanced XLR or non-balanced RCA.
Interface is balanced XLR x2 (in and out)out and balanced TRS left right out + USB, headphone out, and MIDI (in-out) - if you need that.
https://www.adam-audio.com/en/ax-series/a5x/
https://www.steinberg.net/en/products/audio_interfaces/ur_series/models/ur22mkii.html