There is a lot of work in the older literature on aqueous electrolytes. See Robinson and Stokes, Electrolyte Solutions, Butterworths 1965 - mainly for dilute aqueous electrolytes; also Tyrrell and Harris, Diffusion in Liquids, Butterworths 1984; and more recent conductivity studies by Hefter, Bartell, Buchner, Bester-Rogac and others. Hertz and Mills did some self-diffusion work on structure breaking salts in the 1970s, but there has been little done in recent years, other than by Lobo in Coimbra. Aqueous ionic liquid solutions offer new opportunities, but people will need to relearn the old techniques for diffusion, transport number, conductivity and activity coefficient meaurements, which were very precise. One cannot use NMR for everything!
I also dislike the terminology Lamba-imp and Lambda NMR. The latter is just the simple Nernst-Einstein or Hartley-Crank expression for non-interacting ions - the self-diffusion coefficients can be obtained by several techniques, though NMR is favoured for ILs due to their high viscosity. Lambda-imp is simply the normal molar conductivity and needs no subscript. We teach students to use terms like "volume" and "mass" for physical quantitiies rather than "litres" or "g", which are units. So we should be consistent and not confuse physical quantities with the particular measurement techniques by which they may be obtained at the moment.