A discussion to have with the people closest to you.
Hello and welcome to the RTA forums !
We can help with your road trip planning as and when the time comes, but decisions about your livelihood are one's you need to make for yourself and discuss with family and friends if needed. My advice would be that if you are not happy in your work then something needs to change, but personally I wouldn't jeopardise my income for a single holiday. You say "You don't think your employer will give you time off", well the best place to start is to ask. As a parent I do think that you do have a responsibility to yours, whether it be to help with the household bills when you can afford, or just to save for your own future as they help support you. Sure get out and explore and have fun, but in a responsible manner. I'm sure you will make the right choices as you are considering your options rather than jumping in the deep end.