It should be noted we were playing on a domination map (I forget which, but can find out,) with a few mods. We're using TMR modular realism, Jarheads sounds, community based addons for A3, blood mist, and ACRE3. I'm not sure how much changes with these active. Furthermore, we're using the latest development patch for Arma 3.
I can provide crash logs and stuff, but I'm not sure how or where to get them.
Also, the group I play with cannot seem to replicate the problem.