CS Cart doesn’t currently work with any robust inventory management and shipping solutions for businesses who need more than the current inventory functionality within the cart.
StoneEdge is something that you should consider looking at for integrations as it’s been around for a long time and has a lot of robust functionality that would certainly be a huge benefit to the cart and its users.
I’ve been super impressed with StoneEdge’s functionality so please consider adding it to your list of software it can integrate with.
I would suggestion contacting Thomas from FDGWeb.com - They have already done StoneEdge integrations with CS-Cart.
Our team (not associated with FDGWeb at all) is currently integrating with Dynamics AX as well. It's extremely possible, but it's going to either cost you a good amount of time, or a good amount of money.