Continuous-tone Negatives on Lith Film Using Rodinal?

I have been experimenting with lith film when looking for a way to get suitable negatives for some of the antique processes (cyanotypes, etc.) Most of these processes require long-scale negatives, i.e. negatives with a long straight section and a high D_max. It is particularly the latter that got me to try lith film. Even with usual paper developer, the characteristic curve of lith film looks pretty much like a step function. I got some acceptable results with lith film developed in Tetenal Neofin Doku (a Beutler-type developer which seems to be more or less equivalent to Kodak Technidol), but that is a pretty expensive preparation. Can anyone got recommend a cheap continuous-tone developer for high-contrast films? (Maybe Rodinal at 1+...?)

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