Getting a math guy to do some odds checking would be good yes.
To solve the problem of 5 vs 1 being unfair you could make the number of attack dice depend on the number of defenders left. This would also be a realistic warfare (ever tried beating up 1 guy with 4 friends all at the same time

. So for instance in 5 attacker - 3 defender dice setup: if defender = 1 then attacker = 3. I think this would make it fare.
The base problem of all the dice frustration here in CC is that a 20 vs 5 fight is reduced to a sequence of 3 vs 2 battles where the defender wins on equal outcome. This is just not realistic warfare. If 20 vs 5 was reduced to sequences of 5 vs 3 battles with a final 3 vs 1 battle once the defender is done to 1 I am sure that odds would become more realistic.
Lack, I dont know your system but it would not be too hard I think to make the number of dice flexible or is it? I am not saying that it should be the new default but it could be an interesting game option. And if the odds and gameplay change then perhaps that is simply interesting and will challenge players to work out new strategies based on these new odds. If this option could be easily implemented you could come up with an option like:
Dice Configuration:
option A: Traditional (3 attack - 2 defense)
option B: Expanded (5 attack - 3 defense)
option C: Aggresive (7 attack - 4 defense)
option D: Nuclear (9 attack - 6 defense)
To protect the defender when armies go low you could add:
option B: if defense = 2 then attack = 4, if defense = 1 then attack = 3
option C: if defense = 3 then attack = 6, if defense = 2 then attack = 4, if defense = 1 then attack = 3
option C: if defense = 4 then attack = 7, if defense = 3 then attack = 6, if defense = 2 then attack = 4, if defense = 1 then attack = 3
If not too hard to implement then it could open up a whole new gameplay/strategies and I am sure it would take away a lot of the dice frustration that the current 3-2 limit has. Afterall you can only lose 20 vs 5 a few times before you go nuts!
