I do not think it is necessarily a one or the other choice. I travelled all over the world, including of course India and Nepal, built relationships and so on internationally, and yes while young and afterwards, all the while holding down nice paying employment in Information Technology and computer science.
When I had the opportunity to work a well paying job, I took the opportunity to work such a project and gain the experience and resume, while at the same taking the vacation that typically comes with a good job (typically it might be only 1 week initially but more common 3 weeks and more over time) to travel to India for example. I understand you want to take a month, however initially the first time to India is extremely rewarding and doable as an emergence process in a single week journey by targeting ONE REGION, the single week which is really 9 days if you count the weekend days before and after the 5 day vacation time thus 9 days total. But you need to be willing to take the "red eye" flight with little sleep when you land in Delhi, Mumbai, Kolkata or elsewhere. You can do it, not that hard. Remember, a truly rewarding Hindu experience can occur in a very "small sacred space" such as a particular temple or tirtha. You could have an experience of a lifetime in one mile by one mile radius in India, and there are literally thousands of sacred zones and dhams, and sometimes your best experiences come from the sacred zone that is alive in the soul of a fellow Hindu or savant and not even paydirt.
When you look for a good job, and have the initiative and get up and go, consideration could be made whether the job has possible opportunity to travel abroad? That is what I have taken advantage of as well, your travels can be business-adventure-pilgrimage combined. Put your nose to the grinder and figure it out. But think long term how a job can give you the resources to further foster your ability to really expand your horizons.
In addition, you can form relations and experience that on an international level compliment your business value. Knowing multiple languages is also a plus in today's business climate. You can balance both. These relationships often network and open avenues to be part of families which are Hindu.
My friends in Hinduism also have their careers. For example, I had a friend in the Defense Department. Not only him, but others as well in my relationships, incredibly some even largely paid the bill for some of my travels, especially to India, to simply leverage my own travel acumen and Hinduism while they went to India with me for both job and pilgrimage. The time involved? If I could find a week, I would go, the other person may be in India for 3 weeks but we would go out and I would help the person "get their feet on the ground" and then I would fly back on my own on the 7th or 8th day.
Your career pays for your Hinduism in one way... your life is in front of you. If you have a head on your shoulders and some brains, you can become wealthy. In my career, I have 6 weeks vacation every year. I could also move and live well in India tomorrow if I wanted to.
Yes, travel while young, take every advantage. Also build your career, chose carefully which career can compliment your adventures and Hindu path. You can do both. I would not recommend becoming a hippie bum in India, and also remember though I do not want to sound negative but there are those in India who are awaiting to take advantage of you. Most of the bums I have seen fail totally both in India and in Hinduism. Also, don't expect India to embrace you as a bum coming with no real contribution or money to spend as if it is a welfare wasteland. I know that would never be your intention nor your nature, but do not be a burden on others as it will only weigh you down and actually drag along your path. Do not be a burden to Mother India. And those wonderful souls who you will surely meet, many if most also have families, commitments, duty and dharma, do not take them away from that or take advantage of their good will. For Hindus, a guest is as good as God. You may be a God on that day as a guest, but don't be a burden, a distraction, nor an "ugly American". And when you pay more for that taxi fare, for that cottage industry art or Hindu item or anything, think of what a privilege it is to "hold and touch" a part of India. You are not the sacred cow. You do not know more about Hinduism than the grandmother.