divide the teams to 2 groups with 6 teams in each. make them as much balanced as possible.

every week, each team should face another from its own group. announce the date, time and level for every match in the beginning of the week, giving all teams 5-6 days to prepare themselves (not only practice, but also make sure all players can make it). matches should usually take place in saturdays.

every match should be parted to 2 rounds, each round limited to 20 points or 20 minutes. in the second round, the team that's played as blue would swap to red, and vice versa. in case the score is still tied after both rounds, add 5 minutes.

after 5 weeks, when all teams have supposedly completed their matches, start the knock-out stage (single elimination). the 2 highest ranked teams from each group should qualify.

that's all. quite simple ain't it? but it's much more entertaining and thrilling than your method and also doesn't take too long so teams like israel wouldn't have to forfeit