transferring amazon shipping tracking number( TBA) to tracking number that ebay can recognize

[prime_only]

We sell brand name shoes , shipping only from our shoes store/warehouse.
the question is: we sell on ebay for more than 15 years and we love ebay . selling on amazon for about 6 years and doing great as well . 

the problem now is: we want to use amazon logistic to fulfill amazon orders because the rate is much much better than UPS, Fedex and USPS , we save around $10  - 20 on 5-6 Lbs Shipped across US .we started to test it to fulfill ebay orders. tracking number fro amazon logistic starts with TBA..... which is not recognized by ebay and will ends up losing top rated seller status. does anyone have solution?