Suggestions? Any people in the HR field?
You mean PR.
Read your back issues of Model Aviation that have accounts of how people got access to flying fields to get ideas.
Remember that you need to point out to K-Mart what the advantages are to them. Unless you've got buckets of money sitting around for rent, what you have to offer is good public relations. Also remember the things that K-Mart might be concerned about, mostly being traffic, liability, and having you folks being a real or perceived encumbrance on the property should they wish to sell or expand. Play up the advantages and allay the concerns.
Basically, your best bet is to write an application that points out that you're all thrifty, responsible & brave. Point out that as an AMA chartered club you'll have site insurance. Offer to use the spot at their sufferance and as a secondary user -- meaning, promise to be ready to leave in an instant, and acknowledge that if they need to park the lot full of trucks or something you can be out of there in an instant. Since the corporate officer in question may never have seen the site, take a picture of it & sketch in the area that you'd want to use. Tell them what you'd want to put in (if anything) & what condition you propose to leave the land in when you leave. Stress that all you really need is parking and a flat grass field of a certain size, but mention it if you want to put in any structures.
If you have any kids that fly, make sure to mention how many and get pictures.
Especially if you have any programs with boys & girls club or Boy Scouts or anything, make sure to mention that. Mention that the people out playing with toy planes behind the field are all customers, and so are the people that'll wander by to watch. Offer to name the field the <your town> K-Mart Control Line field (home of <your club>), and to put up a nice sign, so they get credit.