You started down the correct path when you added the counter - go back and add that, something like:
<input type="checkbox" name="amplify#client_admin_surveys.currentRow#" id="amplify">
Would work.
I also sometimes like to add a form field for the 'counter' on the processing page
<input type="hidden" name="counter" value="#client_admin_surveys.recordCount#" />
Then on the processing page, you can loop over the counter and access the form fields using bracket notation
<cfloop from="1" to="#form.counter#" indexd="i">
<cfset thisAmplify = form["amplify" & i] />
<cfset thisEnhance = form["enhance" & i] />
<!---- more logic here --->
</cfloop>
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