Best thing I think you could do is create a function that has [CmdletBinding()] so it supports the -verbose switch. Then you would be able to capture the verbose state of the local function using the local $VerbosePreference and pass it along in the invoke command. This will only work in Powershell 3.0 and higher, since you will need to use the $Using scope modifier.
Function write-blah{
[CmdletBinding()]
Param()
Invoke-Command -ComputerName MY-COMPUTERNAME {$VerbosePreference=$Using:VerbosePreference; Write-Verbose "blah" }
}
Then you would call your function like this.
Write-Blah -verbose
In testing this has worked for me. I believe your function must support parameters, hence the empty Param() block.
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