Disclaimer: I don't pretend to really know much about how much debt you'll be able to manage or whatever.
I'm just coming up with a scenario in which you could possibly pay back your debt quickly.
If you take home 80K, you'll roughly be left with 50K after taxes (right?). So, that's about 4K a month.
Assuming, you're in LA, and you have a roommate, etc. You could be looking at spending in the ballpark of 1K for rent, utilities, parking. And then, about another 500 - 1K for miscellaneous expenses (insurance, hobbies, ??). If you can somehow manage to save 2K - 2.5K a month, you'll be able to save from 24K - 30K per year.
Figure out how much of that you'll want to use to payback debt and how much to put into savings.
Also, but, when you're thinking about purchasing a home, you may also be married and have a double income (this is really why people get married, haha).