I don't think there is a JsonP support.
I have similar issues but hitting google credential services and
pulling data from private gdocs spreadsheets and right now it ain't
pretty.
Since app needs to be loaded from a local browser (file:///), and
JsonP does not fly in case remote service does not support local
calls, I decided to use 'dart:io' and more specific HttpServer/
HttpClient/HttpResponse/HttpClient, etc. as a embedded app server to
handle similar calls. Thing is dart is still under heavy development/
testing and many things (at least of the mentioned classes above) are
troublesome and you may end up giving up. At least I left this course
for now until at least first beta is on the horizon.
My advice (which I chose anyway as a temp solution) is writing a node
js script to handle any client calls from my dart scripts and
returning remote service call data to them.
But maybe if Blogger support local browser calls (i.e. a header key/
value = origin:'null') or your app will be uploaded on a live server,
then maybe better idea is to write a dart util class for dealing with
JsonP calls. There are plenty of Javascript examples/tutorials which
can be used as a reference guide to write your own Dart version.
Best case scenario would be Dart team to add such support but you
never know.