I doubt that is possible without a booster. The home use routers are in mw. Most less than 500mw.
Now this is a current good choice:
EnGenius 11n 2.4GHz Wireless Ethernet Bridge/Access Point (ENH202)
https://www.amazon.com/EnGenius-2-4GHz-Wireless-Ethernet-ENH202/dp/B006M1PKWY/
That is complete unit with built in long range antenna and weather proof enclosure. Far cry from my home brew that is 10 years old.
Here are the FCC standards now:
https://www.air802.com/fcc-rules-and-regulations.html
This is the best I can find on how the offshore tower gets it’s high speed internet, from their facebook page:
“Math nerds & engineers... grab your propeller hat and sit a spell as we explain how we aligned the microwave dish on a large steel box where a compass needle swings more than a politician in a hotly contested race...
To point the Explore.org 4’ microwave dish at another 4’ dish 56 miles away that we can’t see and since even the best compasses ($300 dollar one!) swings back and forth 15° depending on the where you stand on the helipad, we used the only thing we could see and that was at night, the Oak Island Lighthouse. According to Google maps the light house on shore is exactly at 318.2° so to point at the TV tower dish at 1320’ and 322°, a little trigonometry was required. Thank you high school math teachers everywhere!
Then, using two equidistant strings to keep the dish back plane perpendicular and pointing to the calculated location on the helipad, gave us a solid high speed connection on the first try!”