As much as I understood, razor's

@Html.CheckBox("myInputName", false)

Will create HTML like:

<input id="myInputName" name="myInputName" type="checkbox" value="true" checked="checked">

<input name="myInputName" type="hidden" value="false" checked="checked">

If you want with jQuery to select just input which is not hidden, use following code:

$('input[name=myInputName]:not([type=hidden])'