Jim,
I disagree with what you say. Ping looks to DNS first to resolve a name and node type has no bearing on that. Node type determines NetBIOS search order, whether to use WINS before (H) or after (M) broadcast. NBTSTAT then follows the node type and in the case of H-node, queries WINS.

Of course the DNS server can be configured to look to WINS as well.

All this is a bit of a moot point however as you don't really need to know either the DNS or NetBIOS names (they could be different) to get to the $ share as the IP address is enough.

Try \\1.2.3.4\c$
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