Unless you have very wet summers and/or winters, tulip bulbs should be able to survive in your climate without being lifted. But some tulips are 'more perennial' than others and in my experience (my zone is somewhat similar to yours) there is no way of knowing which ones will do well before you try (unless you are lucky and have neighbours who grow tulips and can point you in the right direction).
Some that do well for me (more than just 1-3 seasons) are the old yellow and red Apeldoorns, they are virtually indestructible, T. turkestanica, Cummins, Czaar Peter, Grand Perfection, Hakuun, Havran, Pacific Pearl, Shogun, Purissima, Purple Prince, Queen of Night, Rajka, Red Riding Hood, Swan Wings, White Elegance.
I grow hyacinths (orientals) and Muscari and I never lift any of them.