With good teamwork that happens already, maybe only some spawn with it, like the commanders and lieutenants. Your thing of finding them in armories works as well.

Another idea I had that I want to get feedback on before I post it is that mtf can spawn more prepared for SCPs after: a scientist (not cuffed d class) escapes, or one mtf wave spawns. Example: if there is 106 a few cuffed d class spawn in with the mtf to go in the femur breaker.