- It looks like chain.love is down.

- I visited 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 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.

- other options exist, like running a local full node

Let's look into infura.io, and also consider planning to spend time setting up local and cloud nodes 

7:06a, the list above was pasted