Can you see if a LBS would cut your housing for free? That way you have managable housing lengths, you may not need to have much of any basket contact.
Where do your cables run down your downtube?
I just did the "cross cable" thing on my bike- so the shifter for the FD crosses to the right hand cable stop, and then crosses over the other cable on the way down to the BB and on to the FD. The right shifter crosses to the left cable stop and crosses on the way to the BB then on to the RD.
That may make a gentle enough bend that you can not hit the basket.
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Commence to jigglin’ huh?!?!
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