Without net access there wasn't much to do. However, modeling was one of the few things I actually could do. Fortunately I had some recent version of Wings3D installed. A few futile attempts later I got something that looked alright. Semi-satisfied with my low poly (52 polygons, 104 edges, 54 vertices) spaceship I went ahead texturing it with Inkscape.
Since the intended rendering size is rather small there isn't a need for fine details. I also wanted to try some bold semi-futuristic look with a touch of military blandness. Using vectors seemed like the most natural choice. Hard vector edges also fit the flat shaded rendering a lot better.
Before I could start with the texturing I had to do the UV mapping first. UV mapping is a bit annoying in Wings3D, but it's alright for simple models. If you aren't familiar with the term: it's about which part of the texture goes where on the model.