What is the ruling on a wife traveling alone without a mahram, and on her being compelled to quit her job or not to travel, and would her return lead to the destruction of the home?

Your wife is not permitted to travel for work without a mahram. You have the right to prevent her from traveling and going out for work without your permission, even if her going out does not necessitate travel, provided that you are providing for her maintenance. Her refusal to obey you places her in a state of nushuz (disobedience) and sin. Nushuz does not necessarily lead to separation between spouses; rather, the شرعي (Islamically prescribed) steps for addressing nushuz should be followed. You should not resort to divorce unless cohabitation becomes impossible and divorce is deemed to be in the best interest.