I agree: exposing your copper will add much to the appearance of your house.
I had the same problem on my house....I guess at one time it was in fashion to paint copper. What I did was use a heat gun, which I found to be very effective in bubbling off the paint...and it doesn't hurt the copper or the soldered joints (the heat gun doesn't get it hot enough). I got a contour scrapper to get the bubbled paint off...but I didn't do very much scraping as the paint nearly fell off. Over time, the copper will turn green and match other copper (flashing, etc) that you already have. One word though about falling paint. Put down drop cloths to catch it. If you go to sell, home inspectors now look around your foundation for paint chips.