I'm not a loan officer, so I can't even start to give you specifics. However, just working very crudely with your numbers: If you plan on paying $700 a month, assuming a 4% interest rate, 30 year fixed loan, that would cover the principle and interest on a $146,623 mortgage. (Recognize that in addition to principle and interest, there are also the property taxes and insurance.) If you put $15,000 down, that would mean you could buy a $161,623 home and end up with that $146,623 mortgage that would take $700 a month.
Again, there are a variety of other factors that come into play. (Good credit score, though. Congratulations on that!) But a real rough answer is that you might be able to look at homes up to about $160,000.
Hope that helps.