One word of caution would be to drive slowly and safely. Because of the nearby beach there is a lot of sand on the road sometimes. This sand can cause your bike to slip. I am telling this because in a span of 14000 km which I managed to cover in an year, this is the only place where I slipped and fell because of hard braking. That too at a speed of 30kmph. So be very careful while driving to the end point of the drive.
Best time to visit:
Since it's a coastal area, you can visit this place anytime of the year. But because of it's dangerous topography and history avoid visiting during monsoons.
How to reach:
Dhanushkodi is a 20 km drive from Rameswaram. If you have your own vehicle then you can take it till the police barricade and park it there.
You can also hire a cab from Rameswaram and reach here. Although it might be a little costly.
There are regular buses from Rameswaram too which will drop you near the barricade.
Where to stay:
There are no accommodation arrangement in Dhanushkodi. So, the only option is staying in Rameswaram. There are plenty of good hotels near the Rameswaram temple itself where you can stay at pretty affordable prices.
What to carry:
A water bottle would suffice you for the trip if you are going from Rameswaram. There are small shops in Dhanushkodi too where you can have some fast food.
Fish is a specialty offered there. So if you like fish, you're definitely going to like Dhanushkodi.