I found solution which works in our environment.
It is not possible to transfer credentials through double hop without Cred-SSP, but you can run something on target machine without first hop.
The simplest way is to use psexec with -s flag (run remote process in the System account), final string was something like this:
psexec \someHost -s robocopy "\stagingHostStaging" "\someHostC$Staging" /MIR
Also you can start some PS script in same way, just ensure that script execution is allowed on remote machine:
psexec \someHost -s "\stagingHostStagingScript.ps1" SomeArg1 SomeArg2
Check this article, to understand how psexec works.
While service on someHost
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