I think the major objection is that the American College of Heraldry grants arms without any lawful authority to do so. The New England Historical and Genealogical Society doesn't "devise, grant, confirm, or regulate" coats of arms, and has never pretended to be an heraldic authority empowered by law to carry out such acts.
You should be able to find an herald painter here: www.heraldic-arts.com
which is the web site of the Society of Heraldic Arts.
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