HTML-Kit is still available, last I checked, and it has a built in browser for reviewing the work in the editor. I don’t remember if it can run script or not, though.
Ultimately, what you seek will come at a cost, as I doubt anything this robust will be free. It follows that every browser has its own quirks and testing in multiple browsers is status quo if you wish to get a page up on a production server. I rather doubt any one IDE will be able to emulate every browser or device. Again, the console in Chrome or Firefox are likely better than anything else we might find.