Small room amp and speakers recommendation


I have an area in allocated in my new house for a listen room that is approximately 7ft x 12ft x 10 ceilings....i know it's small, hut it's all mine away from the kids. I am look for advice/recommendations on an amp and speakers for that area. I want to keep the budget under $5k (the lower the better). I listen to a lot of vinyl and a majority or my preferred music is acoustic with some rock mixed in on occasion. Please let me know what you think and if you have an other questions on my desired set-up.
Thank you
weiky
I am heavily leaning toward PrimaLuna after researching, as I have always loved the sound of tune amps, I just need to find a place to demo it.
Still up in the air on the soeakers, seems like a few leans for the KEF LS50's, I have only listened to the R3's hooked up to a Rotel 2-channel amp. 
I measured the room again and the outer dimensions can be 7.2' x 13' x 9.7' high, so I need to look at the dimensions a bit more to optimize the acoustics. 
A different thought, perhaps, with a zero baffle speaker.  Many report Spatial M4 Holgram speakers work well in small rooms as they  interact less with the room.  As low as $2k new with 60 day return policy.  I don't own, and haven't heard, but I've been fascinated reading about them.  Been daydreaming about matching with a Prima Luna amp, easily in your budget.
https://forum.audiogon.com/discussions/spatial-audio-hologram-m4-turbo-s-speakers-a-review

https://positive-feedback.com/reviews/hardware-reviews/spatial-audio-hologram-m4-triode-master-loudspeakers/

https://darko.audio/2016/04/spatial-audio-factory-tour-hologram-m4-review/


I can vouch for the Spatials. I have the M4 Triode Masters in my 10x12 office. I am using an Ekco EV55SE with KT88 tubes. I run it in triode with zero feedback. 
With 26 WPC, it sounds fantastic with a wide soundstage. Acoustics and vocals sound much more intimate than the KEF LS50s in a bedroom system.
You have alot of suggestions for that size room.  I have a room just a little bigger and seriously you might want to look at a nice headphone system.  It will take the room out of the equation.