with my IIS7 site, i manually set the bindings for my site. Here's an example screenshot.
Is it possible to set these bindings in the (local) web.config file? Not a machine or app config file ... but the web.config file?
You cannot. The system.webServer settings are supposed to be stored in applicationhost.config file only. web.config can have site specific changes or modification but Web site specific configuration are always stored in applicationhost.config. are element and are in turn element.
From IIS 7 Resource Kit:
This information is stored in the application.config file, check out http://www.iis.net/ConfigReference/system.applicationHost/sites/site/application