I normally use an optoisolator for solid state rigs to isolate the grounds from the radio and computer ground,as the other gentleman advised you using grid block keying method of using a reed relay is advisable.
Try this link below to get some examples of using a optoisolator then add a reed relay,i homebrewed one for a ts520 and it worked like a charm,let me know if you need any more information.
73 de Clint vk2acm
http://www.angelfire.com/oh3/k8be/cwkey.html