Looking for a compact lightweight case for 33" Lever Action (similar to Guide Gun)

[Macchina]

I have this little compact lever action and am looking for a case that would just fit it. I am taking it 10 into the backcountry on a cart so either something super lightweight and hard or something form fitting and rigid would be awesome (such as a nice full grain leather case).

Any suggestions? I was thinking of getting one of these saddle scabbards and modifying it to have a cover over the butt: https://www.trailheadsupply.com/products/rough-out-leather-rifle-scabbard