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Sam, I believe you have crossed the Rubicon into wargame design with your
game proposal in CoT. You have all pieces moving each turn (in what
order?) and ranged combat with odds for success, a hex board and terrain;
all you need is to call it a wargame, and maybe add a combat results table
for all 'combats' between 2 opposing pieces, not just the ranged ones. I
would recommend to anyone HG Wells 'Little Wars' for a fascinating look
at wargaming from some of the history and how to of wargaming to pictures
of an influential author on hands and knees in miniature battle scenes.
It's not quite chess. I see a line between chess variants and wargames
that is crossed several times in Crossing the Rubicon.