I have 16" EX rims on my HCHII, and they work fine. No hit in FE, and the diameter is just a bit smaller than the 15" stock HCHII tire/rim size, and that fixes the Speedometer error and puts it right on.
I am using Michelin Pilot Exalto tires, and they are superior to the Dunlop and Bridgestone OEM tires. The Michilens give me an extra 6 mpg over the stock tires.
FYI, the 17" TSX and SI rims have a different offset which causes them to rub on the brake caliper of the HCHII. 3mm wheels spacers take care of that, but ride, and rotational mass suffer. Stay with rims no larger than 16".