LOVE Dilly's! The Tempe location was a Thursday lunch time tradition with my high school girlfriends and now I work up by this location and still stop in every few weeks. They've expanded the menu a lot, but I typically go for a Veggie Supreme. All their sandwiches are pressed to at least toast the bread - white or wheat.
A "half" sandwich is pretty much a whole sandwich with an inch cut off the top, so it's definitely enough food, but adding a side or a small soup bread bowl or side salad makes it a bigger meal if you're super hungry. The bread is delicious!