I don't think this is a bad match-up at all. You just need to be patient. Byakuya is gaining grd every time you block/hit/ or get hit by his web, so you'll never win the grd war.(if you hit him with a veil off, his day is ruined) If Byakuya is flying towards you, you can either dp or wait and see. If he places a web, he might do the b follow up (Stab down looking move) If you shield that you can punish with whatever you want. If he does j2c just shield and build what grd you can. I beleive he'll still be on advantage. Because of that move you don't want to meet him in the air, and it hit's on both sides so be careful with rolls.
His normals aren't faster, but they have more range. That's where Kuuga and air Kuuga come in to play. (Kuuga unfortunately does not get rid of webs) If He likes to use 2c a lot, you can bait those and divekick for a combo. You also don't have to recpect anything after his second rekka, while under pressure. I see a lot of Byakuya's taking advantage of people not knowing that. All I have left is to just be patient, his web zoning can be strong, you just have to look for an opening, and strike. Once you get in, the game is yours.