Suddenly I remembered the Cafe Neeman Bakery up on Pierre Koenig off of Emek Refaim. I wasn't sure what they'd have at that hour, since it's more a breakfast and lunch place.
When I entered I could smell freshly baked rolls and bread. Customers were coming in for bread and rolls to use the following morning.
I found a small selection of readymade sandwiches in long Israeli "sandwich rolls." I asked the price:
"NS18.50, but only NS15, because it's late."That seemed in my budget, and I was hungry. And the sandwiches looked fresh. Only when I got to where I was staying did I notice that I hadn't taken the one I wanted, but there was nothing I could do. I ate the chavita, fried egg, on white bread. It had sufficient, though not a lot of, salad. It was tasty and filling. Even the full price is reasonable, being under NS20.
Each of these Ne'eman Bakeries have different selections and prices, but all seem rather reasonable. Yes, I do recommend going there.