Grad student – am I a good candidate for a mortgage?

I am 23, turning 24 this year. I am a PhD graduate student and will be for another 3-4 years. I am paid a stipend of $24k/yr and my tuition and health insurance is covered as long as I’m in school. My FICO is 760. I have $16k in student loans from undergrad that are currently deferred until I’m finished with school. I have no credit card or consumer debt, never had. I have $4k in retirement funds and $2k in an emergency fund. My savings account should be up to $6k by December, unless something goes wrong. All this I have saved from my measely income for 2 years. I also own my car outright, paid for in cash. (In that timeframe I’ve also covered moving expenses and an apartment full of new furniture + electronics.) So I would say I’m pretty good with money for my age.

My current rent is $675, nothing included. I’m wondering if it is smarter to buy. I will stay in the area for another 3 years, perhaps more if I decide to stay and work here after graduation. I have a good FICO score so I think I would get a reasonable rate (5.0%?). My credit report shows 5 years of history, all my accounts are in good standing, nothing negative. My available credit limit is approx. $10k and I never carry balances. In my area, I can get a 1bd/1ba condo for $100k, HOA fees approx $150/mo. If I apply for a 30yr mortgage, according to the calculators my monthly payment can range $530-730. I will only have the $6k from savings to put down though. But with Obama’s $8k incentive…. do you think I should even be thinking about buying? I would just really like to have a “home” and not have to apartment-hop after every lease due to management, move furniture, not allowed pets or this or that anymore.

Would they even look at me if I walked into a bank to ask about my loan eligibility?

TIA. Advice from loan officers or those experienced in mortgages are greatly appreciated!
I want to add that I would do the FHA.