NAD T778 AVR

Big NAD fan here.  Owned a flagship AVR in the past and currently using an older T175HD HDMI pre/pro and a couple of Acurus amps in my main HT rig.  While you could go with NAD's flagship AVR the T778, why not opt for the T777v3 and get a high current 3 channel amp to drive your LCR.  Even entry level multichannel amps(Outlaw Audio, Monolith) will have better 4ohm capabilities than most if not all AVRs on the market. 

Just my take.

Bill 

That would be my take as well.  Look for a multi channel amp to drive as many speakers as possible, and use a budget pre AVR as a pre amp (and possibly to drive rear or ceiling speakers).  Then upgrade as funds allow

What if I wanted just one box solution ? Is there a worthy AVR that can drive heavy loads ? What about anthem ?

Yes Anthem would be a good choice.
The NAD T777v3 or the T778 will provide plenty of grunt to drive most HT rigs in most rooms.

Bill