One thing to keep in mind is that Halobacteria are - annoyingly - not Bacteria. I think Sulfolobus is probably the Archaea that has the best genetic tools available. There should be some known promoters from there that you could use. It's an entirely different phylum than Halobacteria, but at least it's in the same Kingdom!
Another approach might be to use a promoter from a housekeeping gene in the Halobacteria you're targeting. If you have any transcriptomics data available, you could use that to pick a highly expressed gene. Alternatively, there are also some halobacteria phages that you might be able to mine for strong promoters. Phages and viruses often have stronger promoters than their host organism.
Patrik