How to create a TCP listener service to work over web?

Question

I have a requirement where I need to have TCPListener hosted over Web which accepts data from client application and stores it to a database.
Client Application will push data to TCPListener just by referring to IP address and Port that are configured with this listener. 
I have developed a console application with above requirements in .Net/C# and it works well.
I don't have a dedicated server so I can't install desktop application over my 3rd party hosting domain space.
I was thinking of creating WCF Service which works on net.tcp binding, but again I don't have any control over the 3rd Party Client application .They can accept just IP address and Port. They won't be changing there code for specific binding format.
How can I achieve this? Please help.