We own a home currently, have a combined income less than your stated income and bought our home for ~250k in M1. Already pre approved for 350k for physician home loans but will likely purchase in the <350k range. Having a bunch of kids means you can only take so little of a house....
Worth mentioning that both my spouse and my median credit scores are >800 and that is the major factor in determining amount and interest rate. Of course, income matters too but if you've got a low credit score then you'll be lucky to get approved for anything with a decent interest rate.
I wouldn't put so much stock into the "physician loan" either. They are totally dependent on your location as there is no federal program or standard for what they include. Most use it to mean you can put 0 down while avoiding PMI (mortgage insurance, essentially wasted money added monthly until you reach a certain % of principal paid, usually 10%). BUT, I have found that many banks will make this offer only with a super high interest rate. Ultimately, if you have any amount to put as a down payment, you may end up paying less per month even with PMI for a significantly lower interest rate. It really is all about the rate, and at present time they are at historic lows.
There's a lot of nuance to home loans and I would suggest reaching out to mortgage brokers in your top few areas of matching right now to get pre approved and talk specifics. Many brokers work across several states so you may only need one approval letter. Oh and you MUST be pre approved to make an offer on the great majority of homes for sale. So if you plan to start making offers March 19, you def want to be pre approved before then.