Laminate flooring without molding?
There are many different types of moldings you can install that are around 1/2" thick that you can glue.  Pine would glue down fine on metal (might require doing it in sections so you can keep pressure on it for a day).  

I would not go with quarter round here because your gluing surface is so small and it will eventually move, get stepped on, furniture hitting it, and just look bad.   

The other thing I have done with using laminate in sun rooms is run metal t-mold transitions all the way around.  Here is an example.  



If I were using this exact one I would probably saw off the right side so it is only 1/4".  This means you install the track, then flooring then glue the molding in the track after (just a little glue so it can be brought up if needed).  

These are the only two things I have done.  One is more indoorsy and traditional.  It probably has a better chance of failing if the outside gets to it - water, large temp changes, dew.  The transitions would work well for a wetter area.  I do this for pool houses a lot.