NOTE - As a side note, while east hits are less common in La Nina years, Florida tends to receive more southwest hits during La Nina years than during neutral/El Nino years. Maybe this a balancing effect! Don't let your guard down!
Hope this has helped. Any thoughts?
You can see a very clear climatological pattern from the La Nina years of 1996 and 1999 on the maps below...


These two years had some of the strongest La Ninas in recent years (preceeding and following the great 1997 to 1998 super El Nino).
Now, let me get to the point: based on my observations above, I lead myself to this conclusion that answers questions on steering patterns. It is NOT so much the La Nina ITSELF that causes these types of troughiness patterns to unfold; rather, it is the FACTORS that are in place that TEND to be more PROMINENT in La Nina years (including strong La Nina years like 1996/1999). Factors such as negative NAO patterns, Pacific SSTs/anomalies patterns, Great Plains ridging, and western U.S. ridging tend to be more prevelant in La Nina years. The big question is this: why? More studies need to be done, but I think we are just beginning to understand the patterns - short-term and long-term - and climatological activity that shapes steering and climatological patterns each hurricane season. Knowledge about this will only become more crucial in this and the coming years. Who is vulnerable? What do the patterns say and why? Why are these patterns in place? These are important questions that we are just beginning to uncover.
I hope I have answered many of your questions. Any thoughts? Who agrees?