I can solve the 3x3x3 blindfolded but it takes me about 30 minutes (15
memorization + 15 solving) to solve it. Please suggest me a method by
which i can significantly increase my solving speed. With 30 minutes
of cycle time it becomes embarrassing (and boring too!) to demonstrate
someone the skill involved in blindfold solving.

Presently I use the method posted on the site cubefreak.net 3x3x3
blindfold 3 cycle method. It is pretty good but i need to increase my
total speed dramatically (at the cost of extra memorization if necessary).