Hi Ewan!
It is possible to reactivate (melt) powdercoat if a heat gun gets too close. I have a couple and the one with two heat levels tops out at about 1,600°F/871°C, which is *hot*. Fortunately, your tubing's 70 and 110°C is well below that, but I would take care when applying heat.
You can sometimes get by with much less heat if you choose the tubing's shrink ratio carefully:
2:1 - Becomes half of its original size once heat is applied. The original heat shrinkable tubing is twice as large as its shrunken form.
3:1 - Becomes one third of its original size once heat is applied. The original heat shrinkable tubing is three times larger than its shrunken form.
4:1 - Becomes one quarter of its original size once heat is applied. The original heat shrinkable tubing is four times larger than its shrunken form.
Also, relatively narrow bands of HST shrink faster than wide ones. If you don't need a continuous channel, you may be able to cut strips that shrink easily to become bands. Though intermittent rather than continuous, the bands might still provide sufficient barrier protect your fork from the carbon wire channel.
You may wish to consider adhesive backed flat (strip) wire such as this:
http://www.taperwire.com/ I've used it indoors and then painted it; works a treat for running speaker wires invisibly, but might or might not hold up well to outdoors conditions and I can'tg speak to how well it would grip on a rounded tube.
Hoping something in the above will help. Really looking forward to your photos. All best luck,
Dan.