Looking for desktop system speaker recommendations

Hello,
I have a desktop setup that needs some new speakers.
I think I am highly limited by speaker placement/application and looking for feedback.
Speakers are about 4” off the back wall.
Around 36” apart and 36” from my head.
Can be up to 16” tall by 12” deep by 9” wide.
Budget under $600.
Prefer DIY.
Listen to pretty much everything and genres.
Amps range from 300B set to pp EL84 to pp KT88 to 6V6.

Currently run RBH R5BiR.
 
You say they are 4" from the wall, I imagine you mean the back of the box. It is of more interest how close the front is.

When you get around that close, midrange reflections might be a concern. One possibility is to make a shallow enclosure and make it as close to the wall as you can, and use a simple absorber or curtain on the wall to catch the highs.
 
Why not use a normal amp and speakers and just plug the audio output in to the amp.
All you need then is an inexpencive cable with a 3.5 mm jack and 2 phono connectors on the other end.
I've had it like that for years now, beats any computer speakers by far.
 
I have the amp and speakers. Just not happy with the speakers but it’s not all the speakers fault totally.
I am not using the pc. I just got done redoing my 2.1 pc audio system. That is what brought this upgrade itch on 🙂
 
Thanks for the options. Seems I have some research to do.
FYI here a snapshot of my setup.
Currently running HealthKit el84’s in push pull with a Norman k modded pas 3.
I swapped the rbh for the brio trio clone with tweeter.
I like the way they image especially with vinyl.
 

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