My Jax jungle build, opinions?

Long read, I know. But I'm really trying to improve, and I have no where else to turn.

Okay, so, I've recently had VERY VERY bad luck with my old Jax duelist build. Winrate is about 38%. It's not good. It's winrate in normals is very high, often carrying going 17/4 or around that. In ranked it's another story, often feeding due to the high gold it requires to build it. So I revised my build, instead of straight AD. I'm building him Hybrid. My old build was After losing so many games because I fail to get to that tier of items till like 40 minutes in on a lucky good day.

My build that I came up with is this, a complete revise then late game (40 minutes) sell boots for Is this build any good? I've named it an unofficial hybrid-carry-pusher Jax. Is this really a carry? I made this build explicitly for a climb build. I've honed my Jax mechanical skills, I have good timing on abilities, but I think I went full retard with my old build's items. Is this any better? How much better will this build be over my old duelist build? I really need help because every build I see with Jax is outdated usually, and I want a good discussion on my build I just took the time (about an hour and a half of doing math with abilities and etc) and I think I improved my build, but did I? And by how much. I have a whole paragraph nearly for every item and why I want them, but I'll TLDR all of them Runic Echoes for ult proc AP damage (since ult is pure AP Hextech gunblade for lifesteal, AD, and AP for my ult AP damage Guardian angel for late game second life Rageblade for every three hits on ult to turn into two hits and AD and AP (+ an attack speed boost for splitpushing/a little longer fights) Berserkers Greaves for early attack speed Trinity force because core on Jax Late game ZZ for pressure on lanes no one on my team is paying attention to. I made this build built around his ult procs, and some AD for regular basic attack damage. Am I thinking in the right areas? And improving my build at all? I know it's a long read, but please. I'm done losing ELO, I want to do something about it. I have a few days to at least get to silver (I went from Bronze 1, to 2, to 3, now I slowly climbed back to 2 at 2 LP)