The most accessible way to get digital communication at that speed is WiFi. You could use unmodified consumer equipment, or getting a ham license would allow you to use frequencies not usually available to the public, as well as much higher limits on power and antenna gain. Of course the ham route would add additional restrictions, like it must be strictly non-commercial, and can't be encrypted.
Propagation at these frequencies for the most part requires line-of-sight, and 180 miles (290 kilometers) is too far on flat terrain. Even if you had a 100 meter tower at each end, you might get approximately 82 km. The general formula is:
$$ 4.12 \sqrt{h} $$
Where $h$ is the antenna height in meters, this gives the radio horizon in kilometers. The horizon distances from each end add together.
If the terrain isn't flat, and one or both ends is atop a hill or mountain, you can get more range. There are tools which can predict radio coverage. Unfortunately my favorite, CRC-COVWEB, seems to be defunct. You can also use HeyWhat'sThat just to check line of sight. It doesn't account for towers but it will show an elevation plan between two points, and then you can see how big the towers would need to be from that.
Another possibility is troposcatter, see Can tropospheric scatter effect be used by 802.11 links?
Or perhaps you can set up routers at intermediate points. This is an especially good option if there is a high vantage point visible from each of your respective schools. If so it's quite likely there's already a ham repeater(s) on it, and while they may not provide the data connectivity you seek, repeaters are often administered by a club. The club will likely be able to help you get access to the site, or at least introduce you to the right people.
If you can accept a much lower data rate, HF can reach 180 miles easily. However you won't be able to attain more than a few kilobits per second.