Many many years ago, I did some prints for the book Silver Gelatin by Martin Reed (of Silverprint) and Sarah Jones, which is a very good rescource for using liquid emulsions. We tried lith printing, and it did work, except the emulsion became very fragile and started flaking off in the alkaline developer. However, an alternative lith result was achieved by procesing a liquid light print in conventional developer and after washing, bleach it back in Potassium Ferricyanide and then gradually re-develop in very weak lith dev. This would have been Silverprint's own brand but I can't remember if it was the warm tone, (not currently available I think), or the conventional SE1. According to Silverprint's website, the book is out of print but there are copies currently available on Abebooks.com.
Hope this helps.
Cheers, Mike.