No, I don't use NiMh batteries in my trail cams, I use Lithium AAs in them (I did use some good quality Alkali batteries for about a week or so when I first got one, but that was before I found out that Lithium were apparently better). As mentioned, I think this is due to the low but steady current drain (with occasional higher drain when triggered) characteristics of trail cameras, which apparently suit the properties of lithium batteries better. I remember reading a thread on a forum somewhere where some people had experienced issues when using alkali type batteries, but they had noticeably better results when they swapped them for Lithium AA batteries.
I seem to remember the thread participants were people who were using trail cams on a professional type basis and leaving them set outdoors in all weathers for longish periods of time. Even so, I'd rather use what's best and avoid possible issues for the sake of a couple of £ price difference. I believe NiMH aren't particularly suitable for most trail cams due to their lower voltage, power discharge when not in use and poorer performance in cold weather. Bearing in mind that digital recording equipment can 'lock up' if it loses power at the wrong moment, I'd rather reduce the risk, particularly when using 'budget' kit that may or may not be as robust to such things.
I think I read that the Apeman camera that's linked to can run off a 6v DC supply, but I might have imagined that! I should be able to let you know soon though, as I've just bitten the bullet and ordered one!