The project method can be adopted in a classroom which has limited technology. It does require a system to allow equal access to what is available. The simplest way is to arrange a system of work stations, one of which would be at the computer. This technique is familiar to most educators.
Students simply rotate between work areas, each of which has different materials for their use.
Don't believe it. Even this limited capability will allow you to get started. It must be able to run a web browser however. Of course, it is easier to function if you have more than one machine which can run a browser. Editing, as you will see later, is more easily done if you can switch between editor and browser to view the results of your efforts as you go along.