Chain line, FSA bb and 9 speed shimano rear
I feel the need to adjust my chain line. From factory it comes setup so that I can use my tripple better on small and middle cogs. When on large cog and 3rd sproket (largest I'm willing to use because of cross chaining) chain line is horrible. So poor when I roll the bike back it upshifts in the rear, and if I roll it some more chain sometimes comes off.
Basically, I spend most of my time in large cog, thus I'd like to adjust my chain line to fit my needs, make it more efficient in my gears, or whatever. If this is easy I'd do it, if not I'd live with what I got.
My bike has a bottom bracket that is protruding out more on the cog side, and on the other side it's kind of sunken in and does not protrude. See pictures.
This gives me an idea of putting a 22 tooth tool on it and rotating it one way or the other until it protrudes less from cog side and more from the other side. Am I right here? Is this how I can adjust my chain line?
Bottom bracket I have, I'm ASSUMING, is FSA Ultimax ChroMo. Because my crank set is FSA and it's like the cheapest FSA bb I could find. It's possible that it's something other than FSA, as long as it's cheap.
For the rear I have shimano 105 or Tiagra 9 speed casette on Vuelta hub.
Please let me know if my plan for adjusting chain line via front is correct. If not then I'm doing shims in the back. I need this info to know if I should waste my money on bb tool or not.