Born and raised here. Don't do that unless you want to be on first name terms with a local tax inspector (DGII). Local companies are literally harassed with endless bureaucracy, requirements and B.S. from the tax authority. Trust me it will be a headache.
It's a very attractive place for people WITHOUT business in the country. Once you establish a PE, the story is another. Do your thing and stay quiet. Also try to not call attention (expensive clothes, watches, girls, etc.) and don't remit a lot of money. Keep your money abroad in the US and sleep well at night.