Some films show greater edge effects with developer dilution and minimal agitation than others, and tmx shows less change than many other films. However, that doesn't mean that it can't be done. Just for fun, I once used stand development with FX-1 and 35mm TMX. I agitated continously for the first two mintutes and then let the film sit in the vertical tank for an hour. This gave results remarkablly different in 8x10 enlargements from 35mm negatives than my usual Xtol 1+ 3 in a Jobo developing routine. The semi-stand development with FX-1 technique gave low contrast, large grain, and very prominent edge effects. This isn't the best look for a number of subjects, but for some it's just right.
For 4x5 use you might try one of the tray holders, such as the ones used by Howard Bond and John Sexton and others. These holders are usually sheets of plastic modified to hold sheets of film face up. One then puts the "slosher" into the developer and moves it around for agitation.
Or you could simply develop one sheet at a time face up in the bottom of a small tray. I'd try something like FX-2 1+1 or FX-1, agitate continuously for the first two minutes, and then leave the negative sit undisturbed for 45 minutes. You'll probably gain a little film speed.