You're not going to hit that level of SHOTR uptime for a longtime. You need a really high haste value and with the 22% you have you're not going to get it, even with the luckiest DP procs. Should probably take a look at your gems, the socket bonuses really aren't all that exciting or beneficial. You want gear that comes with haste on it whilst retaining hit cap and a lot of expertise (7.5% minimum, really you want 15% but you can run with less if you get a big haste boost - I have like 13.5% I think).
You want gear with haste and mastery on it. Crit doesn't do anything for our survival but those 2 do. If you check my armory, I have a far lower itemlvl but just due to better itemization have more stats across the board (obviously excluding health). It's just a gear issue, there's always a chasm left between tiers that is filled by LFR but it doesn't fill it up to the top so whilst the ilvl is there the itemization isn't as great. Keep gearing and you'll be fine.