I just bought a small Pelican case 1170 for air travel. It's big enough to carry my pistol, 2 mags, small box of ammo and small enough to slip into my roller bag. If you aren't worried about theft, strap it onto your ATV with bungies and you should be GTG. I got mine on sale at Cabelas for $27. They're off sale now but you can find them in the mid thirty dollar range - possibly less if you shop around. It's as watertight as any other Pelican Case so it should offer a reasonably good layer of protection for your firearm.
This is the same model I bought. Link
“I predict future happiness for Americans, if they can prevent the government from wasting the labors of the people under the pretense of taking care of them.”
Thomas Jefferson
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