I added a sentence to my message further up, then deleted it because I was presuming, but now it's applicable so I will say it.
I would worry for your emotional health and wellbeing if you went ahead, because of the contstant reminder in your life
When love is involved and somethign ends, it DOES get better - so so much better. No one knows this better than me, having had the most hideous and painful break up on the planet last year. It was hell for 2 months. Slightly less hellish in the third month... and so on and so on and now, 9 months on it's fine, so much better, no more pain apart from tiny stabs now and then that get fewer and fewer and hurt less each time.
BUT
In order to move on, it's essential that you have NO contact. It will hurt and burn and ache and be awful but gradually, it gets better. Any contact will set you back emotionally
Hence my further worry for the hurt and pain you would feel if you went ahead.
ImperialBlether is right too - one day, the right person and right situation will happen, and you could have a baby without all this angst and potential ongoing pain