Havent seen an MC Escher in a long time.Thanks for the schematic.
I haven't modeled it, but it looks like all of your signals are positive, so you should not need to change the basic circuit for use with a single supply op-amp.
The op-amp you want would be have rail-to-rail input and output capability, and voltage operation below 3 volts. There are many parts that meet those needs. Here is one that is already in LT-Spice, ADA4505. Tie it's negative supply pin to GND.
PS. It would be useful to include your LT-Spice .asc file in your posts when asking questions. That way other forum members can model your circuit without having to rebuild it.