Yeah, I've actually got a custom Chrome Extension I've been working on to do stuff like this, though more around deleting Promoted tweets, tweets from people I don't follow ("buddy liked [stupid tweet I don't want to see]")... I had it working perfectly until the recent redesign. Even re-filtered as I scrolled, by hooking into the same lazy-load events they used... One day I'll get it working again! Thing is, posting it on the Extensions directory requires paying $5 and I also imagine Twitter might take action against my account if I posted a browser extension that blocks their Promoted tweets...

Turns out this tool already exists! The creator of https://github.com/insin/tweak-new-twitter dropped by and brought this tool to my attention.

It's everything I wanted, works perfectly, plugins for Chrome and Firefox.

Check it out! Might be exactly what you need.