Burris makes a good scope, and over the years, I have not heard of many of their scopes failing as I have of other brands that some might think bring of lesser quality.
Any scope from a reputable maker in 1-4 to 3-9 range should work fine on the 9.3, as most won't see service in longer distance shooting/hunting. Some great scopes mentioned above.
Myself, I put a Kahles Helia 1.5-6x42 with the German #4 reticle on my LH Sako 85 Hunter, and it works great for me. It does have a 30mm tube, but I liked the excellent glass and the price was right. Just had to get the larger rings. I did mount it in the QR rings and bases, as the rifle does have open sights for redundancy. It is working great for me!
Complete package weighs 8 lbs 15 oz with a full magazine (5 rounds). This produces just over 30 ft. lbs of recoil in my set up, (which is definitely more than the average 30-06).
Recoil is manageable, even with the 285/286 gr bullets, but at this time I am shooting the Nosler 250 gr AB ammo as it is producing 0.674" groups @ 100 yards, compared to the 1.026" groups with the Norma 285 gr Alaskan ammo. And the moose taken with it so far didn't seem to notice the difference!
As mentioned in the thread above, to some, the 9.3's recoil is similar to the '06, while others find it definitely "more". Recoil is a subjective thing to the individual. And rifle weight and stock configuration will come into play for each individual, as we are also built differently, and this has an impact on how we perceive recoil. In the recoil calculator, the numbers are proven to be definitely higher for the 9.3.
That being said, having a scope with decent eye relief will help so you don't get bit.
Have fun with your Burris on your 9.3!