Normally you'd get a blind and just hide out in there for you/camera. Also perhaps swathing it in dueve or something; but keeping the cooling ports un-ubstructed.
For audio, you're not want a lav, normally, unless you know where the game will be (feeing trough or something) but rather some very sensitive hypercardoids.
Unless you're trying to set this up like some kind of camera trap sans- op?
edit:: miss read a bit--
--assuming you're working with hunters, maybe work on making a guillie suit for the camera?
Wireless lav to talent would also work fine.
I'd maybe not go to an h4N.. syncing could be a problem....
As for camera-- look into teleconverters.
though in truth; this may not be the right camera for that type of job. I'd probably much rather want to be on a shoulder-mount eng rig normally. Less to worry about; run audio into camera, good lenses, recording to tapes so no need to bring laptop along (or disks on some of the XDCams).