Large room with low budget for speakers

The OP seems to have gone missing but let me say it would be hard for me to recommend anything, you need to do a little shopping for yourself. I think with your budget a good dealer can put you in the right direction. A good working relationship with exceptional dealer really can help you get going and help with any problems along the way.  

A pair of Revel F328 Be with your REL array should have enough cone area to make you happy without introducing the colorations of horns into your sound. Another one…Ohm Walsh 5s.  Either is half your budget.

I calculated that your room is 31 feet deep by 21 feet wide by 8 feet tall. Of course those measurements could vary some. That is a big room. I suggest horns and at your budget you could hit the best of Viking Acoustic. 

My room is 56 to 60 sq meters I have demoed a few speakers in that budget most of them don’t get loud enough before they start to sound like they are being strained although speakers like vivid or estelon are too small for the room my amps are pass labs XA 160.8 power isn’t an issue for me at all

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).