I would use insulated concrete forms, ICF's for short. They are an excellent product and very easy to use. Just follow the instructions as they are fully engineered for the task. I have done three buildings with them and my shop has 10' tall walls for the lower floor. It was partially buried so the walls were retaining and we used the 8" forms for that pour.
Use the ICF's for your walls and the pandeck for your ceiling. Not all ICF's are the same and I prefer the type that are fully assembled and ready to stack, it is best if the plastic ties show through on both the outside surfaces as this is helpful for the next steps. They go together like lego, very easy. If you use the 8" concrete size and your soil is decent then you probably don't need a footing, just set them on a nicely levelled and compacted surface. You can cut away some of the foam at the bottom to enlarge the footing but need to reinforce that area for the pour. With proper rebar the walls will form an incredibly strong grade beam tied together with the roof pour.
I would be inclined to set the wall forms and pour the walls and then set up for the roof pour. All concrete walls are poured in lifts, it is standard practice. Are you going to have a concrete floor inside your tunnel? Is it just a walk through or will materials need to pass through?
I think that containers is a reasonable idea if you had them sitting around but may be more hassle than it is worth. 70' = 3.5 containers, doors need cutting off, floors need connecting, condensation on steel, etc etc.
I can go on at length about the ICF's as I am a real fan and love living in our house that is made with them. There are many benefits to the system and I would be happy to answer any questions if you decide to go that route.
Also just a note for those suggesting that rebar be welded to the container, this is not a good idea as the rebar needs to be fully surrounded by concrete. Also cement comes in a bag and is an ingredient of concrete, just like flour is an ingredient of bread and no one calls a loaf of bread a flour loaf.