Getting to actual numbers, the 2009 felid RCP is online and lists tigers at 129 AZA facilities. Assuming there hasn't been much change since then, it would require only 30 non-accredited facilities to equal the NA River Otter numbers given above.
I had forgotten how many tigers were held both in AZA zoos and non-accredited facilities; I'm used to thinking of them at the subspecies level, and I usually can't conceptualize populations in non-accredited facilities because they are hard to estimate. I suspect that, on the whole, you may be right; tigers could be more common in captivity than NA river otters. Lions might be up there as well, although they are a bit less common than tigers in both accredited and non-accredited zoos. If we count sanctuaries in the mix, then they definitely would surpass river otters.
A few population caveats, though. The number actually *has* changed from the late 2000's, in that the number of tiger holders have gone down; it's probably dropped closer to ~100 (not sure why, might be the massive phaseout of the generic pop). That document also counts facilities that shouldn't really count in this discussion, like private breeding facilities. Also (despite the nevertheless impressive and valiant efforts of @birdsandbats), I doubt our holding list for river otters is comprehensive... especially with the recent spike in new aquariums, many of whom immediately acquired river otters upon opening.