Coastal or Bluewater...
Folks have crossed all of the world''s oceans in "coastal cruisers", some smaller than the 30'' to 34'' range you mentioned. Some have even circum-navigated the globe in them.
If you try your best to avoid bad weather, and have gained enough practical sailing experience, you shouldn''t have a problem sailing beyond the sight-of-land (which is an arbitrary definition of a Blue-water sailor).
~ Happy sails to you ~ _/) ~