When you reprofile by hand you should use a long and rather coarse hone. This will cut fast enough that you can maintain a reasonably constant angle. The cheapest thing to do is to get an 8-inch long double sided silicon carbide hone from a home center or hardware store. One side should be label coarse and the other side fine or medium. Start with the coarse side. Get a flat board about a foot square to work on (about the size of a cutting board). Lay one end of the hone on the board and prop the other end up on a block of wood. A 2-inch thick block of wood yields around a 15-degree angle while a 1.5-inch block yields about 11-degrees. The formula is 8" x sin(desired angle) = hight of block you need. If you don't have a scientific calculator handy the calculator program in windows has a scientific view mode.
Hone with your blade held horizontal. Hone the blade with edge-forwards storkes on one side until you just barely start to feel a burr on the side of the edge opposite the side you are honing. Then move the block to the other end of the hone and flip the blade over and hone the other side until you feel a slight burr along virtually the entire length of the blade. Now move the block back to its original position and flip the hone over so the finer side is up. Repeat the honing process on both sides using the finer abrasive. You are now reprofiled and ready for regular honing.
You will need to do some deburring of your edge after reprofiling. Use the finer side of the hone for this. Lay the hone down flat without the block. Hold the blade tilted so that you are honing at close to a 45-degree angle. Very lightly hone the blade with a very few edge-forwards strokes. Alternate sides as you go. Left, right, left, right. You probably only need to do 2 to 4 strokes per side to remove the burr.