When you say below 700 credit scores, I am guessing you mean just under. If it is under 640 then it is a bit more difficult. There is more to it than just a credit score, the lender will also need to verify income, how much debt you have and a few other things.
But from what you describe, yes it sounds like you would qualify for a mortgage. The only way to be sure is to call a lender and get pre-qualified. That can be done fairly quickly. If you are not working with any lenders yet, go ahead and call, text or email me with your contact information and I can email you a few lenders who are great to work with.
Also, you mentioned that it is a HUD home. I have a lot of experience with HUD so you are on a deadline in order to place your offer. I am capable of placing offers on HUD homes and can help you answer any questions you may have regarding HUD.
I hope this helps and I look forward to hearing from you, my contact information is below.