Maybe after he found something with Richonne he might not have at that time
Sadly, since Rick was "saved" by Jadis, he's been in captivity for 5 years. He kept trying to escape, to the point his captors put him on an actual leash. To escape that torment, he chose to cut off his own hand only to be captured again.
I don't see him choosing to end his own life after all that particularly out of character, given the givens now