Hmmm, we are somehow not quite connecting
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What you want is no problem.
The way s2 works or can work is every thing is public except what you specifically designate as only accessible to members with a specific access level.
So lets say you have a page named game-deals-3
You can set the access to that page for s2Level-2. That would mean that anyone who tries to go to that page, if they can see the link or accidently come across it, will be redirected to a page explaining what they need to do to gain access to that "premium page"
And those who already have the correct access level will simply be able to go there.
You can simply put a login link, with redirection if preferred, somewhere, for example just under the "Join Now" link.
When they click that link they will be sent to your customized default login screen and once logged in they will have access to that closed content.
And you can manage the links either by having them on a separate menu, on a page only accessible to those with he right access, etc.
If you want for example a login widget, s2 pro has one.
Does that help?
DP