Straight cableguards are tough to gain adequate clearance with larger vanes in some instances due to the design of the individual bow model and the shooters' preferred rest and arrow configuration, but many manufacturers use them, so it is not an isolated incident-- I've had many customers complain over the years when using shoot-through rests and high-profile vanes/feathers with a straight cableguard. The slide may help, but you will probably have to rotate nocks as well by the looks of your pics.
Another option (tho drastic) would be to switch the guard itself up to a rotating one like the one in this pic-- then you can tune your arrow pass correctly no matter what arrow or vane style you use. This would be a pain certainly and you should contact the Bowtech factory before any "modifications" are done otherwise it will void your warranty, but if you cannot gain the needed clearance you may need to do it as ANY cable contact will hamper arrow flight and performance will be inconsistent. Yet another and more simple alternative (tho pricey) would be to switch to a different shaft with lower profile vanes. Good luck! Pinwheel 12