Can't imagine any traditional shopping company not being able to send it. Though sometimes the cost of shipping a large item negates the value of the item.
Try the regulars such as UPS, Fedex and uBox. You could try a comparison site like uship.com
You may also want to check the import duty applicable to Smart TVs imported into India.... not sure if import duties are applicable to electronic household items that have been used.
Other points you may want to consider:
a. If the TV encoding signal method will work.... if it must be converted.... or if the TV will adjust itself
You have to contact any shipping service for that. But try sflworldwide for cheapest shipping service, you can compare the prices with other company and choose it.