The rent vs. buy calculation is a bit off. The $3,750 figure is just interest at 6%. Add to that property taxes, HOA fees and insurance plus any principal you expect to pay. This will add at least $1,000 a month to the payment. In addition, the huge factor is the DOWNSIDE. If the value stays the same for the next three years, very optimistic, then you will only have to pay 6% of $750,000 and thereby lose $45,000 which, on a monthly basis would add another $1,250 to your payment. Consequently, it is much less risky to rent unless you can survive the downturn.
PS I pay $2,000 a month rent for a 2,900 square foot home in RB with a yard for a dog.