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There isn't really any such thing..they ALL suck once it rubs on something the wrong way, even without any drag tension applied. If you fish an area with a lot of shells or underwater obstruction, as soon as that braid touches anything the wrong way then bye bye, there goes your hooks, leader, x-amount of expensive line, as well as the fish. On more than 1 occasion I have gotten a run and was cut off before I could even get to the rod while fishing braid with the reel in clicker mode and no drag. If you are going for big sharks with big reels just bar pack it with straight up heavy mono and be done with it. On a single run a truly big shark can strip off well over 500 yards with 30-40 lbs of drag, I have seen this myself, and I would never want to be hooked up to a true monster from the beach with any braid in the water..its very risky especially with high drag. Another good thing about mono is that it is much more forgiving against violent head shakes and easier to check/feel for nicks and frays when you reel in..with braid it is tougher to feel any potential weak spots. Hope this helps.
John is absolutely correct on the technical side of braid - its small diameter is its biggest weakness. Braid is actually very strong but it has to be fished a different way. One of the things that helps you with this is the fact that MOST all braid floats - thats right it floats on top of the water. One of the most successful shark fishermen in Texas (a place known for multiple sand bars to out over 300-400 yards) with shells on the beach and bars uses 50w reels loaded to the gills with braid - he adapts a leader system that utilizes a float to keep the end of the line attached to the leader on the surface and the rest of the line just floats on the top of the water. Braid can handle more than people think it can but under pressure and the right object it cuts very quickly because of its small diameter. A lot of it really depends on WHERE you are fishing and what your particular style of fishing is - we use a combination of braid and mono in North Carolina and some use straight braid with pretty good results. There was a nice fish over 9' landed just a few days ago on a 30w running straight braid.
The Sufix 832 and Cortland master braid appear to be the most abrasion resistant. I have fished 30lb Sufix 832 all year fresh for stripers and catfish and in salt for bait and drum, pretty amazing how it has held up. The only downside is 80lb is the biggest size in the 832, cortland master is available to 200lb I think.
Well really the most abbrasion resistant braid would be 8 strand if you think of it logically. 4 strand that's 100lb test only has those 4 strands if one gets nicked then your down to 75% strength instantly 8 strand cuts that's down even.more and like he said most all braid floats I listened to boghy and bought x-strong off ebay and I'm very impressed I bought 100lb and breaking strength is 119 actually and since its 8 strand its more abbrassion resistant and it was 71$ for 1000 meters..I'm actually very happy with it and the ebay seller is the one who actually makes it. I love braid but in fla u must have atleast a 100 yarda topshot minimum
I ordered some of that too, glad you're happy with it. Mine hasn't turned up yet. How long did yours take to arrive?
Mine took 8 days and ya I'm happy with the buy didn't break the bank and its strong I was surprised it broke over 100lbs
The x-strong is worth the money, other china braid - to much the risk and most of them are 4 strands. The ebay seller that sells the x-strong is a OEM braid manufacture company, where i wouldn't be surprised for them to be one of the main manufacture for one of our well known braided line brand where would be written on the spool's label "Made in China". Usually takes about 3 weeks to get the line, from the day of ordering.
After getting wrapped round a rock while hooked up to a decent shark on Saturday I have to say that I was amazed how abrasion resistant power pro is. I was literally sawing backward and forward against a barnacle encrusted rock, retrieving a few yards, then losing a few again to the fish for about 20 minutes or so under very heavy pressure and it didn't pop. In fact it was the 100lb mono that gave out in the end. I've checked the braid over and can't see or feel any serious damage. Very impressed with that. 
In the BHC tournament i hooked into two hammers within 2 hours apart, where the second one i lost it. The reason why i lost the second hammer was because on the first one when i used gloves to snap the 100lb braid i couldn't snap it straight, so i had to use the pier railings and finally snap it. I checked the line without noticing any damage to the braid. Well, when i hooked into a second hammer, same drag, about the same size, around 8-9ft, the line snapped between the tip of the rod and the first knot, just about the place where the line was on the railing earlier that day.
Since then, i would never reuse braided line that was clearly in heavy touch with ruff services. I cut that section off, and just add a longer topshot if necessary.
Sufix bar none... the performance braid in 130 and under 80lb, the 832. The stuff is awesome.
x2 on the 832, I have been running 50lb on my surf rods for almost a year now and it is holding up great!