Nissin Seikon Yamabiko 540
The Nissin Seikon Yamabiko has the highest recommended tippet rating of any carp rod I've seen. It is rated for 16 lb tippet. To get a stronger rod you would have to get a salmon rod, which would cost about twice as much (or more).
The rod is very stiff, though, and you would probably need either a size 4.5 level line or a Nissin PALS SP Pro 6m line to cast well.
Shipping charge for this item is $20 to a US address. International shipping will be substantially higher.