Bummer to see you and the family heading back to AZ....good thing for you would be no more commuting.My thoughts on your questions:1.

As far as price, we don’t have a limit, we just want to get a good price per square foot, it’d be great if it was no more than $150/sq foot.

Looking to spend no more than $50K on each property.

My lease allow for "guests" to stay no more than 3 nights at a time and no more than a total of 6 nights.I recently rented to a young couple with 2 kids.

id like to keep monthly payments around 1350-1500 for now, if possible, but this time next year ill be able to afford a bit  more due to my kid starting kindergarten which means no more $400/mo pre school expense (phew!).

I've seen some HOA's have rules like "no renting out the unit in the first year of ownership" (which wouldn't work too well if you only bought the property to be a rental and didn't intent to move into it), or "no more than 10% of the units can be rentals at any given time" (and that percentage had already been reached and there was a waiting list years long).  

One new model says no more deaths after June 21st. 

They stopped responding when there was no more allowance for bookings.

And no more than 2-3 extra days.

The seasoning period is based on your lender, no more, no less.