Nexstar might not have any European assets, but non-compliance might not be a smart move if they get fined and business executives travel to Europe...
Also, individuals traveling to the EU will never be liable for the fines of their company.
Our company just completely ignores GDPR - and I suspect no one will ever care.
Do you do only your own tracking? Or do you directly or indirectly sell Europeans' personal data to other companies, who in turn may be doing business in Europe?
You can probably see where I'm going with this: those other companies may then potentially be liable in Europe for improperly handling Europeans' personal data. If I was buying personal data from US company as a European, I would make it part of the contract that the seller must comply with GDPR at least for Europeans, to avoid this potential liability.