If all else fails you can just go old-school and either suck on it instead of blowing on the other end, or prime the thing. I fill mine up with an iodophor solution, plug the "exit" end with my thumb (also iodophor sanitized) stick the racking cane part into the mead about half way (I like to only lower it to the bottom near the end of the siphoning to minimize sediment transfer), then release my thumb over the sink - once the iodophor is all out and a little mead has pumped out too, I plug it with my thumb again, move it over to the new carboy and away I go.
The only tricky thing with this process is when the mead is almost the same colour as the iodophor solution, which makes it hard to tell when mead is finally coming out the end other than by smell alone. What I do in those cases is before I stick the cane into the mead, I very breifly let go of the other end with by thumb, which lets a small (couple inches usually) air pocket into the cane. I then quickly re-plug it and stick the cane into the mead, and then release over the sink. I wait until the airpocket has travelled all the way through and out, then a second or so more to make sure I got all the iodophor out, then go back to my usual process to begin the real mead transfer.