how would a two sided sub box work
Mounting on opposite sides as in the image below cancels some box vibrations, so it's often used because of that.
https://www.diyaudio.com/community/threads/definition-of-push-push.365561/
But you can put them on adjacent sides, one facing in and one facing out, or however makes sense for how you want to use them. You obviously need to wire them so they're both pushing out at the same time, so that can require different wiring polarity if you flip one inside out.
My quick run at the numbers didn't imply that you were near trouble from a box volume standpoint even with two of the Vega 10's in your single box, so I wouldn't be too concerned about maximizing the internal volume. Sealed enclosures tend to be pretty forgiving of reasonable cabinet volume changes, and your particular woofer looks very forgiving in this regard.
Your original Qtc with one woofer in that box looks like about 0.65. A Qtc that low helps with very low end extension, but also lets the woofer move more at low frequencies, so it can be easier to use up all of the excursion. Maximum power handling for a woofer/sealed box is up at Qtc 1.1, and even with half your current cabinet volume (as would happen with two of your woofers in one box) you get less than halfway to 1.1 from where you started.
The trade-off for raising the Qtc is sacrificing some low end extension and transient ability, but again, in your case that looks pretty minor and cabin gain typically helps you out as frequency decreases anyway.
As I suggested earlier, I'm not saying this approach will necessarily get you where you want to go, but it's an option that looks reasonable if your amp can deliver enough power to both woofers.