Okay if you are still trying to get the pin out here is the easy way. Since the block is cast and the pin is harden you can use a cutting torch. All you do is heat the pin and then hit the air to cut. It will cut out the pin and not damage the cast. You will have to "ream" out the hole with a drill once you are finished because it will have a little slag left in it from the pin. I have done this many times on camshafts that have a sheared pin in them and it works every time.
-What model saw do you have? I looked at a manual on Delta's web site and looked at the 28-206 or 28-276. Are they the two pins that hold the upper arm to the base, they show four pins two on each side. If that is them the best way is going to be drilling a small hole through the bottom of the hole that has the broken dowel pins and tap them out with a small punch. I can't tell from the manual but it looks like it should hurt drilling a small hole there but do it at your own risk. You will have to be able to get the drill straight under the hole and I don't know if you can. If there is some thing in the way you could use a 90 degree drill head but then your just buying more stuff to try. You said the pin got driven farther down the hole, if you have enough room to put a shorter in on top of the broken one and have it deep enough to keep the parts from turning. The bolt holds it tight, the pins are just to keep the two parts from twisting. If they are dowel pins you won't be able to drill the pins, they are very hard. Hope this helps.
Scott
Got a welder? Even an Oxy/acetelene one? Take a steel nut with a hole in it that will just fit over the dowel. Put it over the dowel. Hit it with the welder and essentially weld the dowel to the nut. Now you have something to grab on to.
You can weld a bigger nut to the previous nut so you can get a better grip. You can also weld something to the current nuts so you can put a slide hammer on it and then yank it out that way. If the weld between the nut and the dowel doesn't hole just repeat the process until you get it yanked out.
The process of welding a nut on to a broken threaded bolt/stud will also work in those instances where you break a bolt head off. You just need something bigger to put the wrench (impact works better) on.