My 2 c.
In your situation I would go for powered speakers. Anything mentioned above is a worthy choice but since your space is confined why bother with an amp at all ? With your budget you can get some top of the line near filed powered speakers from the likes of Genelec, Neumann, Adam, Focal, Dynaudio. No worries about amp up to the task or potential upgrades, less cables, less space overall IMO better SQ. All of the ones I mentioned are common for Pro applications and there must be a reason for that. Each have their own character, they all tend to the analytic, more so the Genelec, less so the Dyns. all of them well within your budget.
Good luck !
In your situation I would go for powered speakers. Anything mentioned above is a worthy choice but since your space is confined why bother with an amp at all ? With your budget you can get some top of the line near filed powered speakers from the likes of Genelec, Neumann, Adam, Focal, Dynaudio. No worries about amp up to the task or potential upgrades, less cables, less space overall IMO better SQ. All of the ones I mentioned are common for Pro applications and there must be a reason for that. Each have their own character, they all tend to the analytic, more so the Genelec, less so the Dyns. all of them well within your budget.
Good luck !