A NLE is a non-linear editor, such as Adobe Premiere.

The easiest and fast way would be to do what you did again just choosing a LUT you like better.

Below is a decent and fast option to apply HDR > SDR color correction to the entire video:

In Premiere put three adjustment layers above your video:

Top layer - add a LUT which improves the picture, such as SL GOLD RUSH (or the LUT you already tried), and reduce intensity, perhaps 50%.
Mid layer - add the SDR conform effect here and adjust the brightness and contrast appropriately. Leave soft knee typically at 100%.
Lower Layer - add saturation here of perhaps 115-120% if the colors are washed out.

If you like the SDR conform effect by itself just use it alone.