Two things: I don't know what HEA is, so would be grateful if someone could enlighten me.
Second: I wouldn't rule out the possibility of Alt-Clark being able to kill himself. True, I think he's more likely to neglect himself take more risks than he is to actively try to take his own life, but I wouldn't rule out the possibility.
If it were our Clark then I would say that no, he wouldn't think about it, and I'd have a hard time accepting the possibility. However, the two incarnations are actually very different; although they have the same core material to work with, their pasts and their presents have helped to shape their personalities.
Chris
