Broken Bolt - Easy out advice

I had a problem earlier this week with my fan belt falling off constantly. Upon inspection I found the two supporting bolts for the power steering pump that mount into the block had broken off plush with the block, so I won't be ale to vice grip them out.

I've been working to get an easy out in there by drilling in with a carbine tipped bit and a 1/2HP electric drill, but it's like drilling into titanium. I havn't made any headway and I'm not sure what to do now?

Further, I'm worried that if these bolts are in the block and so hard that I can't drill in, what if I finally get an easy out in there break it off when I'm trying to pull it out?

Suggestions for getting it out?

just to let you know.. easy out doesnt work.. especially on anything that hasnt been loosened in years.. its good for small stuff.. but not bolt sized things..

I haven't done this personally, but I'll throw this out anyway. I ran across a pretty good rust remover. http://www.safestrustremover.com/testimonials.asp
Not really cheap but good stuff.
I'll be in your shoes before too long because I plan on taking my 16 year old headers off, derusting and painting.
What I'd do is get a gallon plastic bottle and fill it with the rust remover, and either rig a hose, or just poke a small hole in it and let it drip on the sheared bolt. I'd place a bucket under the engine to catch the drips. After I'd let it drip till it was empty, I'd drill a smaller diameter hole in the bolt and use a screw extractor on it. the rust remover can be filtered and re-used by the way.
Sounds a little wacked I know, but you are in a tight spot - thinking outside the box.
Good luck.

I had a problem earlier this week with my fan belt falling off constantly. Upon inspection I found the two supporting bolts for the power steering pump that mount into the block had broken off plush with the block, so I won't be ale to vice grip them out.

I've been working to get an easy out in there by drilling in with a carbine tipped bit and a 1/2HP electric drill, but it's like drilling into titanium. I havn't made any headway and I'm not sure what to do now?

Further, I'm worried that if these bolts are in the block and so hard that I can't drill in, what if I finally get an easy out in there break it off when I'm trying to pull it out?

Suggestions for getting it out?

How many rpm does your drill have. Mine got 1250 rpm I took a small bit to make a pilot hole and moved up 2 bit sizes at a time until it was thin enough to pry inward with a small screwdriver and peel out with needle nose. Didnt even have to retread the hole. I was not going to spend 600.bucks for new intake and 600 to install.