Persist Session to Node

Sounds like you want to use a combination of cookie persistence and direct node selection. So something as simple as this should do the trick:

when HTTP_REQUEST {
   if { [HTTP::uri] starts_with "/csconsole" } {
      use pool foo member 10.0.0.3:443
   }
}

Assuming you have cookie persist on the virtual, then once the session goes to pool member 3, the persistence will be updated and locked onto that member for the remainder of the session.