Here are some numbers for you - this would be just principal and interest, not including property taxes and insurance.
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First, assume a 4% loan. Here are the monthly payments for 3 different loan amounts, for 15 year and 30 year:
    Loan amount    15 year    30 year
     $75,000            $555       $358Â
    $100,000           $740       $477
    $125,000           $925       $597
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If you borrow at 5%, the numbers look like this:
    Loan amount    15 year    30 year
     $75,000            $593       $403Â
    $100,000           $791       $537
    $125,000           $988       $671
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You'd have to have a pretty small 15-yr mortgage to keep your payments under $600/month.
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I sort of see your point about savings - my DH had a lot of money saved when he was in high school, but his parents took it to pay expenses on their farm (yep, it was a pretty sleazy thing to do). It took a long time before he was willing to save money again. But logically, if you're owning a home, you need some money put aside for unforseen expenses. You might be able to get along without a vehicle, but it's harder to get by without a frisge, if yours should die.
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Would it work for you to keep a savings account in a different bank than your checking account? Have money automatically deposited into savings, so you don't have to think about it, but if you need it, you have to make a special trip to the bank - you can't just transfer easily by phone, but it's still readily accessible if you need it.
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Good luck to you!