To be honest I hardly can understand your question. You are looking for a router that will give you support for the authentication page?

Have you found a solution? I am just trying the same but I am not that techy to be honest.

I think most of the VPN providers are safe as long as you use SSL websites to get them. However, try to not use any private information anytime you are connected to any VPN or proxy since nothing is like 100% safe,