Jon, I'm not entirely convinced that your rationale for using braid is entirely valid anyway. Using the increased breaking strain (yet retaining minimal diameter) is all well and good. However, if this is just to facilitate applying more pressure to keep fish away from snags, it might not work quite the way you anticipate. Sometimes you just have to accept that a swim is just too snaggy to extract a fish safely or without inflicting mouth damage (or worse). My own use of braid in certain circumstances suggests to me that you may actually experience more hook pulls, even when applying no greater pressure on the fish. I found that I ended up using different rods when using braid. That was easier than trying to modify an ingrained playing style.
There are a few reasons where I will consider the use of braid mainline.
A) Trotting. Braid floating like a top is the big advantage here. The lack of stretch also allows an elevated level of control and feel. The downsides are twofold. Without using an excessive breaking strain, braid can be too light to deal with wind well. You also have the problem of some rods (that are otherwise fine) feeling awful with braid. The wrong action will see more bumped fish than you'd experience with mono.
B) Big river legering. The fine diameter compared to breaking strain can allow longer casts. Lighter leads can also be used yet still hold bottom. The significant downside is on rocky rivers. Braid generally offers poor abrasion resistance compared to the mono it may be substituted for. Going for a much higher breaking strain may limit the problem, but eventually you negate the diameter advantage by doing so.
C) Long distance stillwater legering. Braid can offer increased casting distance and improved bite detection at range.
D) Carping on weedy venues. On large weedy (but not snaggy) venues, braid can cut through the softer weed types.
E) Spod and Marker work.
F) Lure fishing. Not something I do much, but the lack of stretch in braid is a distinct advantage.
I have used braid for all of those in the past. However, the reality is that I have stripped it off the majority of my reels. It's still on a spod/marker reel, a couple of big river barbel reels/mini big pit reels and on a trotting reel. None of them have seen any use in at least a year.