I would tend to agree with Riggs and dipper, if you are going with rye again this fall, let it go to seed and then disc it shallow to "plant" your fall rye crop. We had been doing this for many years, as rye was one of the only things that would do well on our sand and it was free seed, so one had to add a lot less the following fall. As to the clover and chicory, those will both do well frost seeded into the rye. I would recommend a medium red clover frost seeded at between 5-8 lbs per acre. The chicory, I might go light on that, as the seed is fairly expensive to be plowing under in a few months. If you were trying to establish a perennial plot such as a white clover/chicory mix that you were going to leave stand for multiple years, I would use the recommended amount of around 4-6 lbs/ac, but for your purpose, 2-3 lbs/ac should suffice.
If you are looking for nutritious feed for the the deer short term, one other thing I might try, would be some field peas, AWP's, or soybeans, but it would have to wait a few more weeks after the chance of frost has passed. I know they don't ideally top seed well, but some will definitely take if it gets under the growing thatch of rye, clover, and chicory. Make sure you do it when some upcoming heavy rains are in the forecast, as beans and peas typically take 3-4 times more water for germination than cereal grains like rye. I would do this only if I could get some leftover seed, or I could get the seed VERY CHEAP, as germination % will be lower than if you could incorporate the seed into the soil, the deer will hammer it anyway, and you will likely kill whatever is left when you disc for the fall planting as well. In addition to being ice cream to help feed the deer, it will help put some extra N back into the soil along with the clover.