Ok. So I realized that I would need two switches ANYWAY, since both doors would not likely be accessible from the location of one switch. Here's the breakdown of what I did, first.

Two Switches:

SW1
Switch: ON
Pwr Ch: -1
Bcst Ch: 0

SW2
Switch: ON
Pwr Ch:-1
Bcst Ch:1

Three Timers:

TM1
Timer: On Once
Pwr Ch:-1
Bcst Ch:0

TM2
Timer: Off Once
Pwr Ch:0
Bcst Ch:1

TM3
Timer: Off Once
Pwr Ch:1
Bcst Ch:0

I will have the map hosted in my fileshare as 2 Switch toggle incase anyone wants to look at it.

Basically you have a set up that now directly turns one door on while simultaneously turning the other door off. Because the switch is only an ON switch and not a toggle, it will be unusable again until the opposite switch is activated. Of course, the thing that really offset them both at the start is the use of Timer: On Once using the -1 power channel and turning on only ONE door (turning a door ON, means you're turning the initial animation ON, therefor OPENING the door). Now that they are good and offset you're ready to rock.

PS> I think this may also be doable with a toggle switch and some different use of timers but I haven't explored it further. If your switch was a toggle. It could simultaneously change states of two timers that broadcast on different channels. You'd then still use the initial Timer: On Once but it would be for the broadcast channels of one of the timers. If someone feels like testing that before me (if they care) by all means let me know what you find.

And THANK YOU to the forgers who come together to problem solve and increase the understanding of one another on here. Honestly it's my favorite thing in the Halo community. To see people helping each other out.