Even though I am in the process of Selling my GE setup, I have been very happy with them for my Home Theater. Yes you can get away without using a sub, but I still used another because of the size of my room. My preference between Axiom and GE would be pretty obvious
Bass is not boomy on the GEs, but going with the Triton 5s and separate subs is a solid move too IMO. The GE are very efficent speakers and will preform well even with an AVR.
I am still keeping my GE Invisa 7000 Atmos Speakers, I have been extremely pleased how well they performed.
To bad you are not in the US, I am selling my Triton Ones + SuperSub XXL for $3800 US lol.
Paradigm is one to look at if you are in Canada, but the only speakers they manufacture in North America are the Persona higher end line. Either way I have owned Paradigms in the past (Studio 100v5) and was happy with them until I moved to GE.
Demo Demo Demo, and decide, you have a nice budget with options.
I would also agree with ADTG in that you should seriously consider the Yamaha receivers, the build quality is quite good..