Ive seen my deer in my backyard get a bit clover fussy. Right now , everything is new and fresh in NY. they're more interested in fresh tree/shrub nibble.
I'd put a mix of clovers in there. Patriot is a more cold hardy white clover than durana. My home is in 5a which I have a food plot, my hunting lease is 3A. Cheapest place I found durana or patriot was amazon from peddington directly. $7 a lb for a 25lb bag I think.
There is not bad time to plant clover. I Always add clover whenever and whatever I am planting. It takes time to grow. I like a mix with some medium red short perrenial clover. It grows quicker. Maybe 2 parts white perrenial to 1 part medium red. I usually get medium red, ladino, dutch white AG, some berseem, and this year I added some alphafa to the mix. that dutch white is almost like an annual, it grows real fast for me where I live. It's a hit or miss at the local Ag co-op, but I buy birdsfoot trefoil when they have it. Im also pretty happy with plotspike clover blend. They add some chicory and some crimson clover to the bag. If I cant make it to the ag co-op, I get a bag of that and add it to the "mess".
My mess I even add dandelion, plantain, and crabgrass where the area will be frequently mowed, like the hunting club parking lot and yard areas. I frequently see my critter go right past clover and hit every dandelion or plantain in my backyard plot.