To pass a controversial amendment would require the ardent support of something around 75% of Americans, distributed evenly in a regional sense.
Since there is not even close to a simple majority of Americans who would support an amendment to ban abortions, what is the point of even discussing whether to push for an amendment?
At this point in time, overturning Roe and returning the issue to the states is the best outcome we can reasonably expect, and would besides be a major victory for federalism and a rebuke to activist judges.
This leaves aside the incredible difficulty of really enforcing a law which so many people would oppose.
You look at the enemy (pro choice movement) the battle field (the lethargic and indifferent American population inundated with 40 years of liberal thought, congress etc.) and the situation (we are a Federal Republic not a conservative dictatorship) and then take the actions that get you closest to your goals in the shortest time possible.