I would not bother with an external amp.
By the way, I kept a NAD amp from my old system just in case I needed it. I haven't needed, and to be honest, it actually is detrimental to the sound of my system.
System:
Polk LSI-9's and LSI-C on the front, 7's on the rear.
Denon AVR 2805 100wpc yada yada yada.
I have had the volume at above the 0 setting more than once.
Yes the Denon gets warm. It is suppose to!
By the way, the Denon gets almost as hot if you leave the unit on over night. On meaning not in the powered down standby mode.
Yes the 15's have the built in "sub woofer". Basically it is just an 8" woofer. Yes there is a lot of energy required for the woofer, but it is not that great that your Yammy can't handle it.
To get a real improvement by adding an external amp you would have to double the power to get just a 3db barely audible improvement.
Why is my NAD detrimental to the sound quality? It isn't power. The NAD has plenty of that. It is the additional set of RCA cables, an additional power cord, a few extra circuits etc that is creating just a weeee bit of floor noise (also known as white noise or background hiss). I suspect the age of the NAD has a lot to do with the additional noise.... the newer equipment has such better SN rations compared to much of the old equipment.
If I really "needed" the extra power, I would purchase a NEW multichannel amp and use the Yamma as a prepro only.