Long ago I owned Audioengine A2+ speakers as my main setup for almost 5 years. The top end is muddy and not clean as you describe.
If you want to stay with a powered speaker the KEF LS50 Wireless II (active model) will be much better. Maybe you can get one used for $1000 - $1500.
LS50 Wireless II | Best Wireless HiFi Speakers | KEF USA
The LS50 Meta passive is also great and can be found for $1000 and under. However, you will need a good amp for it. PeachTree audio has some decent low-cost amps. Both combined would be under $2k and definitely sound better than the 5+ you have.
For a really great BUDGET system I would get a $700 Schitt Kara F preamp | Schitt $2k Wotan amp | $1k Magnepan LRS+ speaker. My office system is similar except I have Magnepan Mini in a small space. The LRS+ plays in a bigger room and is a bit less clean on top as the Mini. The LS50 Meta would be amazing on this amp and preamp.
The LS50 is going to have a slightly cleaner sound over the LRS+ and Mini but the Magnepan has the terrific WALL OF SOUND effect that is addictive.
BTW - I repurchased the Audioengine A2+ recently, but it is only used on a desktop for computer audio.