I have not tried them personally, but a
previous thread (post #21 & #22) stated that they fit. I think I also read that It's more a matter of fitment on the rears, believe-it-or-not. I wouldn't expect too drastic of an improvement, though. The 2016 revised the spring and shock rates (I think they used a different stabilizer bar too) to make it a softer ride. I'm sure there will be a little difference with the change you're thinking about, just not a huge difference. Note that your actual speed will be ~6.5% higher at the same speedometer reading due to the greater circumference of the wheel/tire combo.
Something else to consider, think about going to a "S" or "T" instead of a "H" or "V" speed rating on the tire. The lower speed rating typically uses a softer sidewall and therefore is slightly more compliant in ride quality. Don't do this if you're a 79 year old "Speed Racer" though.
B.T.W., welcome to the Avalon forum... enjoy your car.
Edited:
Due to lack of "S" or "T" choices, I need to revise my earlier recommendation and instead recommend "H" over "V" (or higher) speed rating. For the sizes we're looking at, "S" and "T" rated tires are overwhelmingly winter tires. They would in general be noisy due to their aggressive tread and wear too quickly for all-season use due to their softer compound.
There are a few S/T choices in the 50 size... you may want to take a look at them.