Men would often rush forward and go to ground– relying on the men or MG behind them to provide cover fire.
Prominent examples are D-day, the US Marines in the pacific Island hopping battles, and many examples by trained Germans (that was the doctrine).
Men that go to ground do not return fire they keep moving to the next cover. If done well, you present a target that is hard to hit and you can close to the enemy unit.
Of course it all depends on the nature of the game.
If going to ground is going to cost you 10 minutes of firing this may not work for you. If it costs you 2 minutes of firing — that is another matter.