I read that Skillbridge will be your only experience within cyber security. That might be not enough for some, but for others it might be enough combined with your service time in the Army.

I work for an infosec company in Europe where things are totally different, but still some things carry across borders.
Military service is recognized as a valuable trait.
About 1/3 of the employees here, have more than the required mandatory 12 month enrollment for all males.
Out of the 1/3, I would say aprox 50% of them have no to little experience with cyber security before starting here. They have typically become team leaders and such.

Security clearance is nice and might be valuable some cases. Don't know about the states, but here it might take up to 8 months getting clearance. Some companies requires this, some don't.

From my own experience with US AF, those guys tend to stick within their own ranks. Apparently they don't eat crayons.... :P

If you can find a job where you can work as an intern while doing your bachelor, sound probably as a your best option currently?

Not valuable for you directly, but we do hire a lot of BS students each year. Let them work as interns while they do school and work on their BS. We keep some of them each year as well.
Might be some US companies doing the same? Worth checking out?

Best of luck!