Spears in Mazes & Minotaurs

I was thinking of making a reach rule for M&M. Currently, all melee weapons strike in the same phase of the combat round. One possible fix for reach:

During the first round where two opponents are closing on each other, the guy with the spear gets to attack first. On subsequent rounds, while the two are engaged in close combat, the guy without a spear gets to attack first, because the spear is too unwieldy for close quarters.

This might end up making the game too complicated, but it seems more realistic.