Keep in mind that there is a NASB update slated to be released in 2017. That may or may not be an issue for you, but it will cause others to wait and see what changes there will be before investing in a premium copy. Lockman (Foundation Press) is supposed to be revamping their editions and I'm guessing they will probably offer calfskin if not goatskin.
Lockman (Foundation Press) has previously published calfskin or goatskin editions of the Single-Column Reference (SCR) and the Large Print Ultrathin (LPUT) with raised bands. When they were first issued, they were made in the USA and were of excellent quality with much better paper than what has been used in the Allan editions, from what I understand. (The two Allan NASB editions are the same text blocks as these, and I think they used paper supplied by Lockman. I think Allan's SCR may be out of print at the moment.) About 9-10 years ago Foundation Press moved production to China. The quality went down, reportedly, but from what I understand it has improved. But I don't know whether or not the current ones have raised bands. These appear on eBay from time to time in various conditions. If you know what to look for, the copyright page indicates when it was printed.
Cambridge also publishes premium NASB editions, including the Clarion, Pitt Minion and maybe a Wide Margin. I don't think any of those are going to have raised bands.
If you are on Facebook, there are several Premium Bible oriented groups and pages where you'd be able to obtain more information. They include The Bible Exchange and Bible Design Blog and they are also venues for trading and selling Bibles.