My hunch is that construction will have a lot of effect on birds close to the site (say within a few hundred metres). But actual rocketry will be less of a problem as it is currently so irregular. Also, the presence of tourists may cause a lot of disturbance and closing parts of the beach, and banning dogs (scary to birds) could help a lot. Part of the solution could be making other parts of the reserve better.
a. it is by the sea so that they are not flying over populated areas b. it is remote enough so that a 1000tonne methane explosion will not endanger anyone or their property and c. it is close enough to civilization so that they have a good access to skilled and un-skilled labour
will have the same issues as they are having in Boca Chica
And you also need a 4 mile undeveloped radius from the launch site. It's really hard to find 8 miles of undeveloped East Coast coastline.
OTOH for polar launches you want to launch North or South. Vandenburg is a great site to launch South from, but if Alaska is acceptable then there are many possible launch locations there.