Stacking might help a little, depending on exactly what the transmission curves of the filters are. The order doesn't matter, and without some testing I don't think you can really determine how well it'll work or what speed you should shoot at with them stacked.
Are they plain red or "deep red"? There's a comparison of red (#25) with IR (R72) at http://www.markcassino.com/b2evoluti...st_impressions; the red one doesn't show much of an IR effect, but the text notes that he didn't try a deep red filter.
Interestingly, you can produce a reasonable IR filter by stacking certain types of red filters with other primary colors, but the right combinations may only be available as gels rather than screw-on filters.
I suppose you could get an R72 filter overnighted to you at wherever you're staying. Good luck in any case, and remember, the place is spectacular even in plain ol' visible light!