Is my room size going to be a problem for speakers?

A bedroom may become available in our home when one of our sons heads off to college, and I was thinking of claiming it as a listening room. Put my Rega P3 table and just listen to vinyl. For an amp I was thinking the Rega Brio, the Audiolab 6000A or 8300A, or maybe the Schiit Ragnarok. Or the older Luxman R-115 receiver I'm using in the living room.

I've been asking people about speakers, and it's starting to sound that the room size is going to be a problem. It's only 10 feet by 10 feet. I was hoping to avoid doing anything by way of room correction, and just throw in a pair of bookshelf speakers. A used pair of Totem Rainmakers was a thought, or maybe the Q Acoustics Concept 20's or even the new 3030i's. The Buchardt S300's are at the top of the list, as well as price point (about $1200 new). 

So my question concerns whether the room size is just too small. I don't want to overmatch the room with equipment that's too much for it. Should I maybe scrap the plans and use the money for living room upgrades? Or is there a way to make this work without spending too much time and effort preparing the room itself? 

Thanks for any thoughts and suggestions.

I would expect those Magicos to do really well in a small room in that they are three ways with midrange and tweet in fairly close proximity not to mention they are Magicos helped out with not one but two subs. Very nice indeed!
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Check out open baffle designs. In a 12 x 13 room I am enjoying a pair of Spatial m5's. Find some used Spatials or Emerald Physics.