Binn Chaonaigh lies on a small massif between Binn idir an dá Log to the northwest, the highest peak in the range at, and the large mountain pass of Maumeen or Maumean, that cuts deep across the southern sector of the Maumturks range. To the immediate northeast of Binn Chaonaigh, at the end of a long rocky spur, lies the subsidiary peak of Binn Mhairg at ; it has also been called "Slievenaroy". Binn Mharig's prominence of qualifies it as a Vandeleur-Lynam, however its location off the main central ridge of the Maumturks range, mean that it is a less frequented peak. On the southern side of the pass of Máméan, lies Binn Mhór, which at is the 3rd-highest peak in the Maumturks range.
Máméan Pilgrimage
The pass of Máméan at the base of Binn Chaonaigh has been a site of Christian pilgrimage dedicated to Saint Patrick that goes back to the 5th-century, and before that date, to the pagan festivals of Lughnasadh. The pilgrimage fell into disrepute in the 19th-century due to local faction-fighting and poitín drinking at the events, and by the mid-1900s had almost died out completely. In 1979, Fr. Micheál MacGréil led the revival of the annual pilgrimage and development of the site. A pilgrimage now takes place three times a year on Saint Patrick's Day, Good Friday, and the first Sunday in August. The site contains a holy well, a cleft in the rock dug into Binn Chaonaigh known as Saint Patrick's Bed where the Saint reputedly slept, a circle of stones for the Stations of the Cross, and a Mass Rock, which was used during the 18th-century in penal times when Catholicism was outlawed in Ireland. Fr. MacGréil oversaw the building of a small chapel on the site in the 1980s, and in 1986, sculpturer Cliodhna Cussen added a statue of Saint Patrick depicted as a shepherd with a sheep at his feet. The Irish folklorist and translator Máire MacNeill, chronicled various stories of Saint Patrick's arrival at Máméan in 441 AD, and his fights to banish the pagan deity of Crom Dubh, several of which involve Crom taking the form of a bull which ends up being drowned in the lake at Máméan.
Hill walking
The most straightforward way summit Binn Chaonaigh is a 6-kilometre 2-3-hour round-trip via the pass of Maumean; however, because of its positioning on the high rocky central spine of the central Maumturk range, it is also summited in a longer 13-kilometre 5-6 hour loop-route starting at the col of Maumeen and climbing Binn Chaonaigh and then onto the top of Binn idir an dá Log, before descending via Maumahoge, and walking back to Maumeen. Binn Chaonaigh is also climbed as part of the Maamturks Challenge, a 25-kilometre 10–12 hour walk over the full Maumturks range, which is considered one of the "great classic ridge-walks of Ireland", but of "extreme grade" due to the circa 7,600 feet of total ascent. Since 1975, the University College Galway Mountaineering Club, has run the annual "Maamturks Challenge Walk", and man a checkpoint on either side of Binn Chaonaigh; one at Maumeen, and another at Binn idir an dá Log.