Dining some quick calculations, you should get a connection, but it’s not going to be the fastest. Here’s my thoughts... (working purely on the 5GHz spectrum, I would expect 2.4GHz to perform better).
- Free space path loss over 1600ft will be about 100dB
- The patch antennas will give you 6.5dBi gain at each end (I actually think the data sheet has the antenna gain round the wrong way, possibly 8dBi for 5GHz, but let’s go with what it states)
- As you stated, assume a low noise floor, 90dBm, as there is little else around
On this basis I’d then look through the MR74 data sheet for a combination of TX power and RX sensitivity, plus the antenna gain, gives you the 100dB you require. Theoretically you should be able to achieve VHT40 MCS6 with 100dB loss (19dBm TX plus 13dBi antenna gain, and a receive sensitivity of -68dBm). Noice floor shouldn’t be an issue.
Now this is all just a quick theory calculation, and as @PhilipDAth stated, the only real way to check it is to set it up and see how it goes. But the theory says it should be okay (it may work even better if you can get your hands on some sector antennas).
Although it’s not a massive distance it’s also worth giving quick consideration to the Fresnel zone. This will be about 9ft radius over your distance. So to achieve the best possible outcome you really need the antennas mounted 9ft above the tallest obstruction in the line of sight, or if it’s completely clear then at least 9ft above ground level.
Hope this helps.