TDD with jQuery thoughts

I've recently been redeveloping a javascript-heavy section of a project without any frameworks other than jQuery. To do this, I've been doing TDD heavily with Jasmine, but I'm not very happy with how I've managed to isolate the tests from the DOM and jQuery manipulation. My current process is to inject a 'fake' jQuery into the application constructed of Jasmine test spies, which works well enough but doesn't give very good granularity on ensuring that the jQuery calls have been made on the correct objects.

I'm curious as to what other people have done in similar areas. We now have > 300 tests on the javascript in this project, of which my new development currently constitutes about 100. The test suite as a whole (and tied to the DOM with jQuery) takes  ~2 minutes to run, but my new isolated tests run in ~1s so I'm interested in pushing the isolated approach forward for unit-testing. I could make my fake jQuery more feature-rich and able to track more detail, but I'd like to know what others are doing in this area before potentially reimplementing something that already exists.