If the set of pieces is not fixed, but you may choose some of them, I'm afraid it will give two problems: 1) the strategy would not change much, because you don't know the set choosen by your opponent. 2) the uncertainty given by the unknown opponent's pieces would lead to a more difensive and slow game
The most important thing for me in a new variant is a higher speed of the game.
(kaŝi) Se vi volas ludi kontraŭ ludanto de simila nivelo, vi povas difini intervalon de BKR ĉe invito al nova ludo. Tiukaze neniu kun BKR ekster tiu intervalo povos vidi/akcepti ĝin, (Katechka) (Montri ĉiujn konsilojn)