Hi I have a similar problem. My room is 13' x 14' with a 14' ceiling A Frame. I can't put any floor standing speakers in that room that go below 40Hz. This holds true of ported designs even more. I had LIving Voice Auditoriums and the Avatars in my room, Vandersteen 2Ci, VonSchweirt Model 3, Athenas, Alon's and many many others over a 3 year period. Only the Alons worked after I purchased a new amp a Odyssey Audio Stratos. I'm a tube guy but that combination was deadly. I got tired of the boomy sounding speakers and opted for a pair of Spica TC60's. I ended up with a pair of Dali Suite 1.2 subs which are acoustic suspension. It has taken some work but finally I have a very good balance.
To be honest it sounds better than it has any reason to.
Because of the price range you have, the sky is pretty much the limit. I would choose Harbeths or Spendors and then the Vienna Acoustics are pretty interesting. I would choose a speaker that have great dynamics and excellent timing. I haven't heard any of the Proacs lately but they have always been one of my favorites. When I am able to move up, the Harbets and the Spendors will be one of my first choices to audition. Why? Because they have excellent balance in the music spectrum and servers many genres of music well. Of course there are other speakers but those two come to mind first. And they are both tube friendly and you should never get bloated bass. I don't know if the Bryston Integrated will be a great choice but I hear is is a wonderful integrated amp. Most of their gear is wonderful.