You'd probably have to fabricate some custom bracketry. Theoretically, you could mount it on top of the engine like certain supercharger kits:
(Pictured is the Boosted Technologies supercharger.)
I don't ever recall seeing someone relocate the alternator up. Several kits actually relocate it down. A couple that come to mind are the Magnum Powers supercharger kit and the OffRoadOnly York air compressor kit.
However, you're going to expend a lot of time and effort for something of minimal benefit. Certain members claim you can go about to the bottom of the headlights before you see issues (I won't claim this myself.)
You'd probably be better spending your time and money on lifts and tires. Don't forget, there are a lot of other components that can also be easily damaged by water intrusion.
For around $300 you could get a (very) budget minded 2" lift using spacers and shocks, and for another $200 get another 1" body lift and motor mount lift. That will increase the height of many more components than just the alternator and provide extra clearance. Slap on some 32" tires and you can go a full 4".
Wider and taller tires will prevent you from sinking as far into the mud. 12.5 wide tires are very popular for muddy areas.
The ubiquitous 4" SL, 1" BL, 35" tires, and skid tucks on this forum would net you an additional 7-8" of height that would protect just about every component from water intrusion. (Not budget friendly at all.)