Can you share the NAT configuration for the server where the local IP address is binded to a public IP address. In CLI format I mean.
Since you say that you are using an external DNS server then I presume you are missing the "dns" parameter from the end of the Static NAT statement which does DNS reply rewrite automatically on the ASA.
Other option would be do configure a certain type of NAT configuration to enable connecting to the server with its public IP address directly from the LAN.
Table of ContentsIntroductionVersion HistoryPossible Future
UpdatesDocuments PurposeNAT Operation in ASA 8.3+ SectionsRule Types
Network Object NATTwice NAT / Manual NATRule Types used per SectionNAT
Types used with Twice NAT / Manual NAT and Network Obje...
Table of Contents Introduction:This document describes details on how
NAT-T works. Background: ESP encrypts all critical information,
encapsulating the entire inner TCP/UDP datagram within an ESP header.
ESP is an IP protocol in the same sense that TCP an...