Cornell & Diehl have built much of their reputation on burley blends. I'm not really a fan of their work, but many here are and they produce a ton of different blends that showcase some high-quality leaf (although a number of those blends would be aromatics).
For high-quality burley blends that are non-aromatics, I think your options may be limited -- someone correct me here! -- unless you branch out into burley and burley/Virginia flakes. That is a wonderful world these days.
If you really want to test your love for burley, consider Solani's Aged Burley Flake, one of the few (if not the only) all-burley flakes. I find it a bit harsh, because there's no Virginia to tame it (and I have a fairly low tolerance for nicotine), but it's definitely worth trying. I can also recommend Samuel Gawith's Best Brown Flake and Gawith Hoggarth's Best Brown #2 (despite the unfortunate name!
).
You might also be interested in the Navy Flake category, which typically involves adding a touch of rum to a Virginia/burley flake. I particularly enjoy Samuel Gawith's Navy Flake. And despite it's name, Gawith Hoggarth's Bob's Chocolate Flake is also a non-aromatic Virginia/burley flake that also includes a tiny bit of latakia, a dusting of cocoa, and a touch of whiskey. It's quite good, and the added flavors are only lightly present; if you didn't know they were there, you might not even notice them.
Of course, there's also Esoterica's Stonehaven, but that's very hard to find. The only other Esoterica non-aromatic with burley that comes to mind is Tilbury, but that's primarily a Virginia with a touch of burley.
Bob