It's only a problem because budget constrained means they don't have very much money, so in addition to wanting to pay for fewer hours they probably want to pay

It's only a problem because budget constrained means they don't have very much money, so in addition to wanting to pay for fewer hours they probably want to pay for less per hour. There probably aren't a lot of shops that can't afford a full time dev, but can afford a nice rate of 60-90/hr.