Adding some red clover may be a good idea, but R.C. doesn't like wet feet. Whether I added clover would depend on my goal for the next year. Do you want this to be an annual or perennial plot? If you want this to be a perennial plot, then I'd likely add a clover blend including a few white clovers (Alice, white dutch, ladino) and probably some red clover too. I'm not a fan of alsike for deer, but it may perform better for you than it has for me. If you plan to make it an annual plot, then adding the R.C. and/or alsike for some "free" nitrogen is worth a shot I suppose. I'd also be tempted to top seed a bunch of crimson and/or berseem clover the spring of the following year (after threat of frost).
What you plant will also depend on your equipment. If you go with WR and can't get into the plot until late summer of the following year, what will you do with the dead/dying rye? Roll it, crimp it, mow it, burn it, till it under, etc.
Yes, the PH is why I'd go with straight WR (as well as the type of soil and water table)