I do not believe the Logan’s are your weakest link. I believe the weakest link is the internal MAC DAC and use of a PC for streaming. I recommend a dedicated DAC and streamer. There are many choices each with their own sound pallet. Go with preowned units. For example, a preowned Bticasti M3 and Aurender N150 will get you in or slightly over budget based on HifiShark recent sales.
if you are set on speakers, +1 @soix . Define what improvements you wish to achieve over the current SQ of your system. Once you have a goal, there may be options to reaching your goal other than disowning the Logans.