The city has a list of surveyors. But their might be a copy of the certified plot plan on file and then you can use the same surveyor to stake the property this will save you some money.
Also this site mentioned below might answer your questions.
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I would ask a few local engineers.
The details of the Special Permit may have specific costs that your question does not include.
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But based on what you are trying to do on the lot and what the town will most likely require it will be much higher. ie; elevations, septic location, septic design, water retention, conservation issues if any.