You just have to quality the business name in the state you incorporate in. If the name’s accepted, which it usually is, even if it’s only one letter or number that differentiates the business from another, then you’re fine.
Seeing that you’re in social media, how you expand will depend on if you have offices and/or employees in another state or country. For instance, if you do have offices and/or employees in another state, you usually have to “foreign qualify” the business and file a Certificate of Authority with that state. Some states do “Good Standing” certificates and require different business licenses than the state you incorporated in, but it’s just something you’ll need to check if you expand, and it won’t affect your business name. It’s mostly for taxes and legal purposes.
What’s the median-sized business, in terms of employees, are you targeting? In the businesses you’re attempting to reach out to, typically which position(s) have the authority to make decisions on what you’re offering? Assuming your business is established and you have domestic sales history, are you intending to sign MSA’s with US businesses, or how’s your sales typically work?