Fly sheet with lining?

[tda]

One of my ponies wears a fly rug 24/7 in summer, she's currently in an Aussie all rounder, however she is a brood mare so has a tummy, the rug slides back and is tight on her shoulders. It grips onto the hair, so it won't slide forward easily and it must be quite uncomfortable for her.
Is there any fly rugs/lighter coloured that are lined?

 

[spotty_pony]

I love my Shires fly rug, it's actually one of ours he waterproof ones but it is pale blue and white. There is padding around the shoulders inside and it's super soft. My boy has big shoulders and chest and lots of rugs tend to rub him around that area but this one fits perfectly

 

[I'm Dun]

I have a rambo summer series which I love and use a lot, and a cheapy zebra print mesh one with a tummy piece that I got on ebay