If you have the skills, move the leaf under axle to a leaf over axle will provide lift. Adding drop brackets to the leaf spring mounts will add lisf. Adding a tube spacer to the frame and welding on the leaf mounts will add lift (as well as make the axle location adjustable. You would use c-clamps to secure it to the frame, though frame will require to be boxed. Boat trailers use this concept).
Lots of ways to get lift out of a trailer. You really can't 'flip' a trailer axle as they are designed with a bow to them to carry the weight.
Now if you lift the frame off the axle, will you need larger tires? If you have small spindle/hub/bearings, you will probably need to go bigger as well. So you may have to swap in a new axle. 4on4 12" wheels (4.8 and 5.7) are rated 1000#s for the pair. There are not many 4on4 wheels to get taller tires. Something else to think about.
This is the backend of a trailer frame. I added drop brackets for the leafs and swap in a hub with 5on4.5 bolt pattern for the 13" rims.
You can see the front hangers still on the trailer frame.
And if you want something small enough, look at adding a large rooftop cargo carrier. This is one I thought of putting together with a Harbor Freight frame.

But I went this route instead.

It is the same HF frame (40x48", 12" rims), 17cuft yard dump trailer, and a few extra pieces of steel. I wanted a luggage trailer for my TJ.
There is one of these near me for $300 on CL. It is a BackPacker, 8" wheels, poly-plastic shell and pretty good size lengthwise.