I don't mean to dis another guy's direct observations, but consider for a moment what we're talking about here.
We're not trying to filter out a different color of light here, that is to say there isn't some magic UV and some nasty old dark red we never really wanted and wish to get rid of mixed in, it's one color. And the 'spectral line' is fairly sharp, that is there's not a whole lot of difference between the 'reddest' IR light coming out and the 'not red at all' IR.
Bummer is that the specific color that comes from modern, high output LEDs (Gallium Aluminum Arsenide based) are around 880 nm, unlike 'the good old days' before the Aluminum when outputs were lower but at 950 nm. The rub is this is at the ragged edge of what the human eye detects. Meaning if it's bright enough (and the room dark enough) we could see it. The basic rub is neither our eyes, the LED nor the filter have an absolute edge to their performance around 850 or so nm. Ideally I guess you'd want LED chemistry (the exact center of emission varies a bit with slightly different ratios) as low in energy as possible a sharp edged filter carefully 'cut' to be just above that frequency, bright background, and old eyes.
It's clearly a compromise. Any filter that's effective WRT 'making it invisible' is gonna take away useful light at the same time.
I've got a couple of suggestions. First off, consider the less efficient GaAs devices, they emit at 950 nm or so and are quite a way out of the detection range of human eyes (no filter needed). As a filter material, consider the dark red plastic used on remote controls (where the 'hide the faint light' is also the goal), but expect losses. Forget B/W film, the dark part is suspended Silver Oxide grains (they mechanically block all light). If we need filters, the photography folks should be able to help out.
Doug Owen