I don't know the actual names of these games (I made up the names), but my students enjoy playing them.
Guess the Card Game, Duel Game, and Dialog Wars.
Here are the' How to' PPTs
You said you don't use the projector, but I think you should be able to explain it through demonstration.
For Dialog Wars: I was able to demonstrate for my 5th and 6th graders, by drawing the grid on the board.
For Guess the Card: I was able to demonstrate with my co-teacher.
Of course, you'll have to do some major editing, but these are just ideas.
Good luck