Just to make sure we're all on the same page, your FD a is "high normal", sprung to move out, and moved in by cable? I want to confirm that because it's the opposite of normal.
If you have good chainstay/chainring clearance it should be able to move in far enough. Take a careful look at what's limiting it's travel and make sure there's nothing wrong.
If you only need a wee bit more travel, you might be able to get it with some judicious filing. Also check that it's properly squared up (I expect you probably did). You can sometimes gain a bit more inboard travel without a loss of performance by bringing the heel in a few degrees.
Otherwise it's either a new longer BB or new FD.
One last option, depending on how the left side of the BB fits is to put a 2mm shim between the right cup and frame, moving the entire BB to the right.
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