I have grown Tiger Babies for years and have never sign of virus in them. I have tossed plenty of other lilies due to virus symptoms.
Judith Freeman used to include a list of lilies in her catalog that she considered "indestructible". From an old catalog they are:
Early season: Doeskin, Viva, Flirt
Mid season: Tiger Babies, Red Velvet, White Henryi
Late season: Scheherazade, Black Beauty
I haven't grown Viva or Flirt but I can agree on the rest of them.