I am sorry for the same, I thought of it as another scenario 
No there no another maintain connections option.
Is the scenario is something like this ?
The user requests index.cfm for the first time > User gets assigned a new session (say session A) >> User is not logged in so the login form is shown
or
The user (userA) logged in and a session (sessionA) is tied to this user A and user opens a new browser session and requests index.cfm
Can you try to remove all extra code from within the cflogin tag and use it outside the cflogin tag as such:
</CFLOGIN>
<CFIF NOT StructKeyExists( session,"surveyname") AND IsUserLoggedIn() >
.. move all the stuff that was in the cflogin for login successful here ...
</CFIF>