Take a look at this map http://www.lib.utexas.edu/maps/middle_east_and_asia/sri_lanka_pol00.jpg
Expand on it Please !
You will see the thin strip of land ending at Dhanushkodi
Couple of miles before Dhanushkodi you will see that the land is thinnest.
Dig a Canal there !!!!
It will NOT be a major feat of Engineering A Simple feat of Engineering which will take 2-3 years. This canal will be 0.6 - 0.9 miles wide.
This is wide enough for ships to pass.
That is all there is to it.
You will be preserving RAM SETU and the coral gardens around it and also accomplish the objective of cutting a passage from PALK STRAIT to the GULF OF MANNAR.