Large room with low budget for speakers

Some speakers I’ve heard within your budget that I like (I like warmer sounding speakers) include Fyne F1 and Cube Audio Nenuphar Basis (comes with its own built in powered woofer).  The JBL mentioned above is intriguing, particularly because I like horn-based systems, but I have not heard it (most of the JBLs I’ve heard sound good, but they are not that warm sounding).

How big a room, how loud do you intend to play the system and what are your other components?  It is a bit hard to gauge what the basic requirements of the speakers you need.  What are you currently using and in what way to you hope to improve on the sound?

I have heard some fairly small speakers sound superb in very large rooms.  For example a two-way YG Carmel speaker did not have any problems handling a ballroom in a mansion that was at least 25' x 50' x 12'.  But, then again, if you require rock concert level, it would not work.  It would help to know what you have actually heard, and what you liked and did not like and the particular settings for what you heard (in a comparable room to yours?).

For the Nenuphar Basis speaker I mentioned above, the room was a fairly large conference room, close to 25' x 50' x 12', and the speakers were well out into the room and bass was surprisingly strong, with no need at all for subwoofers.  This is what a very good two-way system can deliver.  The Fyne system I mentioned was playing in a very small room, so I don't know how they would sound in a larger room, but, I think they would be a candidate.   

Have you heard ANY speaker in that room that did not sound strained? It may not be the speakers  and it may just be the case that the room itself is being overloaded.  Unless you are trying for extreme volume levels,  the Rockports, Focals, Vivid, etc. should be fine and I would being to suspect you have room issues.  Everything is a matter of tradeoffs, and if you insist on rock concert volume levels, you may have to settle for speaker built for high volume that will not sound so good at more reasonable levels (Zu Audio comes to mind).