Hi JT, I had a very similar emergency salpingectomy/laparotomy over Memorial Day weekend earlier this year. My rupture was odd in that it was a very slow bleed over 3 days (all internal), so by the time they got to me, I had lost a lot of blood and was going into shock. They pumped 3.5 liters of blood out of my abdomen and I needed 3 units of transfusions.
I was told to wait for my cycle to return to normal (3 normal-length cycles in a row) before trying to conceive. This is mainly for dating purposes - when you get pregnant again, you need to get checked out early on (like 5 weeks or so) on ultrasound to make sure that the pregnancy is in the uterus. I was impatient and started trying as soon as I fully recovered my strength and blood levels (almost 3 months after the surgery), but I used Ovulation Predictor Kit pee tests so that I knew when I ovulated, since my cycle was irregular. And I took cheap pregnancy tests starting at 10 days past ovulation (which is pretty early).
Amazingly, I got pregnant on the first cycle trying! I had ovulated from my "good side" (the side with the tube) - we could see the corpus luteum on the ovary in the first ultrasound. Also, it is in the uterus, and I'm almost 15 weeks along! This is incredible luck. It took months to get a BFP with the ectopic, and I assumed it would take at least a year with the single tube. But I am proof that it CAN happen!
PM me if you have any questions or want to know more, or just chat! I know I found my experience incredibly scary and it was more than a pregnancy loss, it was a near-death experience and filled me with dread about future fertility problems. I'm here anytime you need to vent.
Good luck and