I can't tell you if those specific speakers will work in your room.
However, I will point out: I think there is a fairly common "myth" among audiophiles that big
speakers -by that I mean ones full range or close to it - won't work in
smaller rooms. It's true that lower frequencies can be more problematic, and a smaller room can exacerbate this, so that part isn't a myth. But it's become close to a mantra that, therefore, if you have a small room you choose small (not full range or employ sat subs) speakers.
But the reality of whether a full range speaker works in a smaller room will depend on various factors: the speaker design, the specific room characteristics, the positioning options you have for the speakers in the room, what level of room treatment you might employ etc.
As an example, I have a 13' wide by 15' deep listening room - so smaller than yours. However, the room nodes are broken up somewhat by a bay window structure behind the listening sofa, and also the right side is partially open into a hallway. In this room I've had all manner of full range speakers (as they are my preference), including those that go down to 20 hZ, and I've always got superb sound from them (better than in the larger rooms I originally auditioned them in). In the last several years I had the room re-designed with an acoustician, with treatment "worked into" the room aesthetically. I'm using larger floor standing Thiel 3.7s right now and they sound "perfect" in terms of even frequency response, bass pitch, soundstaging, smoothness etc. It helps that the Thiels have a very well damped and controlled bass response to begin with, which is as I say, part of how the speaker design can contribute to a speaker working in a smaller room.
So this is all to say: I can't say if those specific speakers will work in your specific room. But if you really want a larger floor stander you don't have to abandon the idea - it's possible to have a solution that ends up working very well. (Especially if you have flexibility in positioning. If you have a coherent floor standing speaker, you can move it closer to the listening position - the closer you move it, the more direct sound you get and the less room effect occurs from the listening position.