Best way to deploy classic asp webapp with sqlite database?

I have a classic ASP front end which serves to collaboratively enter data into a sqlite database, meant to be used later in an android app. I need to deploy this ASP webapp onto an online server with sqlite odbc installed, because the only other option I know is to use my own computer as a server, and I don't think it would be a good idea to keep my fairly modest PC always on for 3 months or so.

The problem is, I can't find any server (preferably free) fitting these requirements.

Any ideas?