Well, SG of the developer is generally lower in areas of no development than in areas of development, and you can see a bloom of chemicals diffusing away from the film that varies as a function of the image density. This is due to bromide and iodide being released. In these areas, the SG is somewhat higher. Other components in the developer maintain a relative steady state in density (SG). (That is rather simplistic though but near enough)
So, the best developers for low agitation would be those well buffered in bromide and iodide. I think that might help more than anything else. But, I really don't know for sure, as Kodak always recommended good agitation, and our tests were run under 'normal' agitation which was standard for all release processes. Stand development was a no-no.
The old Kodak drum processor for color paper was notorious for giving bromide drag due to high agitation, the other end of the spectrum (two edged sword, remember?) and so a special CP5 developer was used there to mitigate the effects of agitation. It had higher bromide, an extra shot of an electron transport agent, and an antifoggant. It then required an after wash for about 30" or so to even out development effects.
I can remember hours of lab testing of paper and developer formulations for bromide drag in color products which are espeically prone to this effect with over or under agitation.
PE