Hi Nikki here (Aussie Agility), more than happy to help out with any questions on tug toys. We do sell the Bunny Fur Tug - 2 Handled Tug toy mentioned here in Australia. Although like some else said you can get these from Clean Run (USA) - customs should not be a problem (but always good to check). Items likely to be ceased would be anything containing animal food products such as meat or meat fat etc, and of course prohibited animal skins from protected animals. There is a full list on the customs website. Whichever way you get it, the Bunny Fur Tug is a fairly flat tug with fur in the middle and handles on either side, so would be appropriate for a soft mouthed dog.
You could also try something like the Long and Lovely toys, these are a flat soft toy with no stuffing, so might also be good for your soft mouthed dog, but still strong in construction. They have squeakers in each of the feet and the lining is Tuffut Technology which makes it tougher for dogs to chew through. Whilst these are listed under Soft Toys I use them as a tug toy with my Aussie's who are good tuggers. But I don't let them tug directly on the head because it probably would come off . The stitching is good but not good enough to withstand rough tugging. If the head does come off though the body of the toy is still good to use as a tug (just headless).
Good luck with your hunt!
Regards Nikki, the Aussies + 1 Sheltie