Hey Diana! No, I don't have drip tape under the landscape fabric, but plan to install some next year. Right now I'm furrow irrigating, using sandbags to hold the water where it is needed. If there is any water still standing after the moisture has wicked-up to the top of the bed, I simply prop up a corner of the sandbag and the water drains out of the garden. Couple of photos to illustrate:
The blue object on the left side is a sandbag.
The fabric shows how far up the water has wicked so far.
It is a crude system for watering, but it has worked really well for me. My rows are 100' long and many times I plant more than one type of vegetable on the same row. Sometimes one needs to be watered and the other doesn't ... so I'm able to sandbag off just the area I need and run some water in with the garden hose.