Ok uhhhhhhhh
   It looks like chain.love is down.
   I visited [1]infura.io .  Their mobile interface makes it look like
   they offer a custom REST api or somesuch, but it might be interoperable
   with lotus lite somehow.
   I visited [2]glif.io .  They need email discussion around providing a
   full node.
   I was previously working on setting up a full node on a cloud server.

References

   1. http://infura.io/
   2. http://glif.io/