I think your best bet is likely going to be something that is custom made. Most of the commercially available leather rifle cases are, as you already know, made more for bolt-action long guns. A few of them claim to hold a scoped weapon, but depending upon the product, most reviewers have stated that it is a tight fit. The primary problem with most commercially available saddle-cases are that they don't accomodate a rifle with a pistol grip, a 10-30 round magazine and a scope.
However, Diamond D Custom Leather makers in Wasilla, AK makes a product that with a few modifications can likely fit the bill. It is listed as a "Lever Action Rifle Scabbard" and sells for $165. As I'm looking at it, I can see that it would work if you a.) allowed for the pistol grip to remain outside of the scabbard and b.) if you stowed the rifle without the mag in the well. That may be a problem if you need to engage quickly. Check out their product catalogue:
http://www.diamonddcustomleather.com...t_Catalog.html
One last point to make: I think you are going to have to consider how you will lash the case to the saddle. More than likely, you'll need to attach the saddle-case parallel, but just in front of your leg so you can draw the weapon easily. That means you'll need to consider how to lash the rifle case straps to the saddle horn and probably the stirrup. You may need to customize your saddle a bit too. I am assuming you're riding a western or Australian-type saddle and not the standard 1859 McClellan or an English saddle. And have a mount that won't spook easily if he gets the business end of a .308 tapping off his triceps occasionally.
Cheers,
Dale