In my opinion, I would not plant your field this spring! Perennial clover take time to put down a root system before you get much top growth. With spring planted clover, even with a nurse crop, summer weed seed and cool season grasses have time to start growing and compete with the clover. You will spend more time and money fighting weeds in over the life of a spring planted clover field.
I would suggest using this spring and summer to prepare for your perennial clover field and plan to plant it in the fall with a winter rye nurse crop. My thought is to wait until you soil temperature hits at least 70 degrees or more. Then do a light disking. Wait about 2 weeks for weeds and grasses to begin growing and then apply a broad spectrum herbicide like gly. When applying any herbicide to acreage (vs spot spraying) you don't want to use an oz/gal of water. Herbicides should be applied in terms of how much herbicide per acre regardless of the amount of water. You need enough water to get an even distribution, but almost all sprayers will give you more than enough water. You need to calibrate your sprayer. There are a number of ways to do this. You can look up the 128th acre method that I like to use. You can also simply fill your sprayer with water and then go spray 1 acre to see how much fluid your sprayer is putting out per acre. So, with gly as an example, the typical total burn down is 2 quarts per acre. That means you want to add the amount of water that was put out by your sprayer to cover one acre plus 2 quarts of gly. If you are spraying multiple acres, simply add another 1 acre's worth of water with 2 quarts more of gly for each acre. The same will apply the cleth or other herbicides. Just look at the label and it will tell you how many ounces or quarts per acre for your application.
After spraying the field, I would surface broadcast Buckwheat and cultipack it. Buckwheat is an annual that provides about 60-90 days of food for deer. Turkey love the seeds and you can let it stand until you are ready to plant clover in the fall. Deer use buckwheat but generally don't abuse it. It comes up quickly and competes well with summer weeds.
Look at your plot when it comes time to plant in the fall. The buckwheat may have been enough to smother most weeds. If it still looks like weeds or grasses are an issue you can spray before planting your clover/chicory in the fall.
Do not disk before planting in the fall. This just brings more weed seeds up to the germination layer. Instead, after spraying with gly again (if needed) surface broadcast your clover and chicory with 80-100 lbs of Winter Rye as a nurse crop. You will not get much germination of clover in the fall. The winter rye will be the attractant for fall hunting. The following spring, wait until the winter rye hits 12-18 inches an mow it back to about 6". The winter rye will take up space weeds and cool season grasses would otherwise use and it has a chemical effect on suppressing the germination of some weed seeds. Each time the winter rye hits 12-18 inches mow it back to 6". This will keep the WR alive and fighting weeds, but release the clover to the sun. By the end of spring, the clover and chicory will have overtaken the field with few if any weeds.
You likely won't need to use cleth. One thought on cleth. It is recommended that you use a surfactant with Clethodim. Often crop oil is used. Crop oil will hurt and can even kill the Chicory in your plot. If you do use cleth, I'd suggest an non-ionic surfactant. Most likely, if you use the fall planted method I described, you won't need cleth for several years.
Now after saying all that, I have become quite weed tolerant over time. I still follow the fall planting method described to start with a clean plot, but after that first spring, I stop mowing clover. I typically let it go over the summer. Many of the warm season weeds are great deer food. If you don't get down on your hands and knees, you wouldn't think there was clover in my plots during the summer. I wait until fall, just before our archery season begins and mow that one time. This is when the cooler nights and rains favor clover. It is amazing how it bounces back and takes over the field again. Of course each year, the clover is fixing more and more N into the soil attracting grasses and weeds. Each year the plot gets a little weedier, but I get over 10 years out of a durana clover field.
Best of luck, whatever direction you go.