Is there a way to capture display by monitor ID?

[Wilzzu]

I have 3 monitors and when playing a game I usually disconnect the other two with a external program. This sometimes switches the display order in the display capture list and the final recording results in a black screen, because it's trying to record a display that is actually disconnected. Is there a way to tie a display capture to a certain monitor by using its hardware monitor ID (MONITOR\SAM7058\{4d36e96e-e325-11ce-bfc1-08002be10318}\0010) for example?

Before disconnecting monitors:

After connecting them back: