It depends. I'd want the item to be in either the top right room, the Shriiiiiine of the Siiiilver Monkey, or maybe the Room of the Ancient Warriors. Then my partner would go first, get taken out, and I'd run blaze through and get the holiday to wherever.
If the artifact is in the central column... hmm. I might send my partner in first, so I can blaze through, but then again I might not get a chance (ie Broken Trident of Poseidon). So I might go first, get taken out, and hope they can do it. Although, if one of the two temple guards that would get me is in the Dark Forest, I could just run straight past them (ie... whichever episode that was).
My strategy would depend on the location of the artifact also. If its in one of the top 3 rooms past the central column, I go down and then up. If its in one of the bottom 3 rooms past the central column, I go up and then down.