This is hard to answer, since you already provide much of the solution in the question. I'm not sure that 1. is likely to be successful (good luck, though) but the others are pretty good. The answer is probably highly dependent on whether the student is in secondary school or university. In secondary every student has limited options and is required by various rules to take specific courses. University students have (in an ideal world) more, but not complete, freedom. But a secondary student might hate History, for example, rather than CS, but they still need to take it.
Let me give a bit of background before saying some things about talking to parents. The background is actually ammunition for you. While I was studying for the doctorate in mathematics, the market was heavenly. The US pushed students into maths and the sciences because of Sputnik. We signed up in droves and the government and industry provided wonderful opportunities for graduates. However this ended completely and catastrophally one year before I finished. There were NO jobs for mathematicians anywhere - especially in good university teaching positions. I was lucky enough to get a position after many (many) tries, but soon switched my focus to computing.
The point of the above is that you will never have any control over what the economy will be like when you are ready to enter the market. It could be good or bad. However, my story isn't a sad one, as, over time, I was able to develop a rich and rewarding (and well-paid) career. So, things get bad, but they also get better.
Back to "talking to parents". I'm guessing that the parents (likely the father, but why be sexist) think that the kid (ageism?) will have a great career in CS. Maybe true, maybe not. But, rather than trying to convince the parent(s) try to explore with them their reasons. In secondary school, unless it is an expensive private (in Britain that would be "public") school the parent has less leverage withholding funds. That gives you more freedom. The student still must be supported, somehow. But for secondary school students, explorations with the parent(s) is probably necessary, but ask first, rather than suggest first.
At university, I've had exactly this situation but there your third option can be a great one. Study CS if you must to keep the funds flowing but also study what you love (history, philosophy, ...). If you know about this student situation, through student conferencing, you can perhaps guide the student to use their (required by daddy/mommy) CS skills in furtherance of their personal goals through wisely chosen projects.
More ammunition: you only get one life. You need to make it a good life, richly personally rewarding. At every step of your life you will face constraints of various kinds and you need to choose a path in light of those constraints. Some of the constraints are incredibly unfair (poverty, racism, sexism, ...) but the life you live is your own. Help your students see that and help them find their path; their path. Maybe you can help the parent see that and move toward a more realistic view of the future and a more supportive relationship with your student.
Nobody promised you teaching would be easy or straightforward.
More ammunition: Some students will intentionally fail in a situation such as you describe. It is a real danger. It can lead, perhaps, to clinical depression. So, you may need to get someone at the school with the necessary skills to get into the conversation.
Another incident, which may shed light on your particular situation (or not). I once had two students come to me, together, for advice. They wanted to know whether they should study Computer Science or Information Systems. I started to talk about the differences between the two fields (what people do). They stopped me. What they wanted to know was in which field they would make more money. That was their only concern. They would have chosen one over the other for a few more dollars in (initial?) salary. Their situation was a bit special. They were fairly recent immigrants from a country in which they were part of a minority severely discriminated against - including economic discrimination. Remembering that, they felt a special need to focus on just money. My advice to them was the same -- make a good life for yourself. Do what you love if you have the opportunity. As a teacher, it is good to be aware of such things when you give advice.
And on the flip side, you can start out in a flying economy and get a big hit later. I have a friend who is a superstar, Fellow of the ACM - their highest "ranking" of members, who had done a lot of great things. However, when Sun Microsystems collapsed, so did much of his career, though he's redirected his efforts and kept to his real goals. He was once considered "one of the (three) crown jewels" at Sun.