I looked at all the states that made abortions illegal. I did a rough count of the number of abortions per year by state and came up with about 240,000. Most abortions occur in states where abortion will be legal. According to Guttmacher, who publishes statistics on abortions they estimated that half of those, 120,000 will travel to other states for an abortion. Clinics in northern Florida will be overrun by patients from Georgia, South Carolina, Mississippi, Louisiana, Tennessee, and East Texas. Colorado will be hit by West Texas, Oklahoma, Utah, Missouri, and Arkansas. Illinois will pickup Missouri, Kentucky, Ohio, and a few more midwestern states. California will get most of Arizona. Idaho will go to Washington.
Although most of the northeast and west coast will welcome women denied abortions in their home state, I doubt they will get much business simply because the cost of travel. I think Planned Parenthood will help, by sending patients to clinics that have openings but most will state as close home as possible. Hopefully PPH will help those that have no funds to travel.
The 120,000 that PPH can't help will stay home and resort to carrying the fetus to term, back alley abortions, and the abortion pill.