FrancescoLR: Il agree with Pedro, the games here i would say in your case would fall into 3 groups.

Cheversi, Scrambled Eggs, Logik, Amazons, Knight Fight, Ataxx, Assimilation, BB, DBB, BB+, Racing Kings, Jarmo, Mancala, Tank Battle, Camelot etc..... - Involve most skill (dont think you can get software to help, but probably get proved wrong lol)

All Gammons, All Pokers, Dice Chess etc..... - Controlled by Dice, yet still decisions to be made.

Chess, Checkers, Line4 etc..... - Can get software to help you, BUT of course we have some GREAT players that DO NOT use it.

Of course, they are my views, and others would feel different
I guess its totally down to you as the Tournament creator. If it was me personally for such a GREAT PRIZE i would run a Random group Tournament and pick a few games from each section to give everyone a chance