Apply a LUT to only the clean-feed?

I am wanting to use the primary Resolve UI on my main monitor whilst keeping a full-screen "clean feed" on my 2nd monitor.
This is because my main monitor (an ultrawide primarily meant for gaming and not really having any business doing color work) is where I like to have my timeline etc, but I want to keep a full screen color-corrected preview on my ProArt display.
I've calibrated both displays using DisplayCal, although Resolve ignores ICC profiles anyway and so I have also generated the 3D correction LUT for the graphics monitor.
But it seems the ONLY way to apply this to the clean-feed and have the correction applied on the color accurate display is to change the "Output LUT", which then means I have to remember to go and take that off before exporting else it'll get baked into my output file.
Is there no way to just apply a LUT to the clean-feed without needing to go spending £1000 on a decklink or ultrastudio, and without then needing to go and remove it before exporting?
Dual-monitor mode also does not solve the issue as I want to keep the controls on my primary display and again have the full screen view (with correction LUT applied) on the 2nd display.
Is there any way to do this without applying the LUT via external hardware?
This is because my main monitor (an ultrawide primarily meant for gaming and not really having any business doing color work) is where I like to have my timeline etc, but I want to keep a full screen color-corrected preview on my ProArt display.
I've calibrated both displays using DisplayCal, although Resolve ignores ICC profiles anyway and so I have also generated the 3D correction LUT for the graphics monitor.
But it seems the ONLY way to apply this to the clean-feed and have the correction applied on the color accurate display is to change the "Output LUT", which then means I have to remember to go and take that off before exporting else it'll get baked into my output file.
Is there no way to just apply a LUT to the clean-feed without needing to go spending £1000 on a decklink or ultrastudio, and without then needing to go and remove it before exporting?
Dual-monitor mode also does not solve the issue as I want to keep the controls on my primary display and again have the full screen view (with correction LUT applied) on the 2nd display.
Is there any way to do this without applying the LUT via external hardware?