@Richard28552636f30n
I would not mind having an Export Queue tab in Premiere Pro that behaves similar to how the Export Queue tab in Final Cut Pro classic behaved.
I would focus on why you can't select 60 Sequences in Premiere Pro, press command/control m to set up multiple sources for Media Encoder, press Retern to send them to Media Encoder, and then press Return again a few moments later to start the Queue.
Take a close look at where storage media is located as well as if any special characters are used in the file paths involved, the Sequence names, and the source footage file names.
As far as the After Effects Render Queue goes, you could drag and drop all of your Sequences from the Premiere Pro project panel to an After Effects project panel, then drag and drop the results to the Render Queue, set the Render Settings, Output Module, and Output to as needed, and then press Render; however one possible limitation is that After Effects can only render a stereo or mono mixdown. This still uses Dynamic Link, so I'm not sure if you'll enounter the same "preparing data for export" issue.
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