Here's my story...
We've gone off season always...Sept, Oct, and Dec...and I've always brought my sneakers. I always got blisters and me feet always felt hot.
Then I research here and heard about special socks that absorb moisture etc... and bought some of them and I bought moleskins too. Well, on a trip last April to Paris, I still got blisters with those special socks with sneakers. BUT the moleskins were a blessing for those blisters!!!!
Then this past October trip to WDW, I brought a couple kinds of sandals (Ecco Cosmos and Ecco Receptors) and my sneakers too (with special walking/absorbing socks). Well, I mostly wore the sandals and I NEVER wore my sneakers and I did not get one blister; well, I started to one day 5 because I was wearing the Receptors in the pouring rain...they are not meant to get wet, BUT I put moleskin on that spot that night and then wore my Ecco Cosmos for the rest of the trip and no more blisters and that one blister I started to get never came. That's the FIRST time I didn't get blisters! I mostly wore the Ecco Cosmos. It was like walking on air and they are cool and dry fast. It was great!
I think you should bring sandals and some other kind of walking shoe like sneakers or whatever and switch around. That's best for your feet. And bring moleskins if you are prone to blisters.
Good luck!