You’re over-thinking it. Your tailgate is more than strong enough to handle what you want to do.
But if you’re afraid to load up on ramps, see if there’s any Girl Scouts selling cookies in your neighborhood, and ask one of them to do it.

 

Drove up a pair of these yesterday:

https://bosskibuilt.com/collections/...evarc-ramp-utv

The convex contour was great - raises the rear of the rig up so the ramp angle and visibility isn't as daunting!

 

Consider the ramps are on the ground at one end therefore with the slope most of the weight would go to the ground depending an where the cart is.....would still split it.