Clover is great (hosts nitrogen fixing microbes, as I'm sure you know) but diversity is definitely better.
A few immediate thoughts come to mind:
1. Plant a variety of things and see what grows for you. Some common soil improvers (daikon, for instance) haven't done well for me. I'm also a cheapskate. The end result is, I use things I can get cheaply for soil improving. Often beans and buckwheat from food sources. (Cheaper in big bags and I bought farm seed when getting things started on our land. But that's a different story.) Half a pound of buckwheat groats can cover a lot of area, then frost-kill and
compost in place. The flowers are easy to find if you don't want them to re-seed. Beans (pintos or whatever) host nitrogen fixers, grow easily, and will frost kill eventually. There are other possibilities: sweet potato will grow from slips, create lots of organic matter, and die easily from cold. Squash make lots of leafy matter and you get a bunch of seeds included whenever you buy a squash at the store.
2. Seen from a permaculture mindset, weeds aren't inherently bad. You could see what pops up and how cooperative it is. Not everyone likes this approach, but things like creeping charlie make lots of organic matter with little input from you.
3. Talk to other gardeners around your area. You may find a seed-saver and seed-savers usually have extras. On the other hand, it's surprising (for me, anyway) how many organic and even permie-style gardeners don't save and actively trade seeds. The advantages for you would be clear: free seed that is already acclimated to the general conditions of your area. I doubt I'm in your area but I've got so much of some seed I'll send you samples, just because. But I only grow stuff that does well where I am with little work.
If you include information about your location, you may get better information.