How can I attach a large satin applique to a skirt? I'm making a skirt, and I'd like to attach an applique of a thin satiny fabric to the thicker base fabric. It's going to be in the shape of a city skyline, with the satiny stuff as the buildings. It's a circle skirt, like this:

except the buildings will go all the way around. I'm going to use a bias tape for the bottom hem of the skirt, and I have the waist all figured out too. but I don't know how to attach the top, cut-out edge of the black satin. 

It won't be able to take much heat from ironing, and will probably need to be hemmed to keep fraying apart. If I try to glue it on, the glue will probably show through. 

My original plan was to cut the black as one big round and jagged piece, fold over a hem along the top and sew it on with a sewing machine. I'm abandoning this idea due to not having really used a sewing machine in years and because of all the turning and narrow bits and detail required. The project is also too big to be able to keep flat and even in a sewing machine. Furthermore, I'm not sure if I can make a crisp hem with limited ability to iron the fabric.

Alternative ideas have been some kind of iron-on stuff to stick them together, or some kind of spray-on sticky stuff, but I don't have any experience with that kind of thing, so I don't know what to choose. Plus, they may require heats greater than what this fabric can stand.

The technique that would probably look best would be to hand sew the entire thing with a small blanket stitch, but that'd be a LOT of sewing- and I only have 2 weeks to finish it. 

Finally, a last case idea was to abandon the satin altogether and use fabric markers or paint to make the buildings, but I would prefer the look of the fabric.
The "iron-on stuff to stick them together" that you'd heard about is called fusible interfacing. For satin, you will be looking for a "lightweight" or "feather" interfacing that has heat-activated adhesive.

It only needs a second or less of contact with an iron to melt to fabric, and  will not bleed through like glue. I recently used it to attach lace to satin, and it performed beatifully. Satin to a thicker base fabric should be similarly successful. Just make sure your iron isn't on the hottest setting -- neither the fabric nor the interfacing need that much heat :)