If you were looking to stay in albergues, it will depend on the size of the albergue and how early you get to your destination each day. If you haven't already done so, you might want to pick up a Camino guide (like the one by
John Brierley) which gives you an idea of what albergues are available in each town and the number of beds they have available. I did the Camino on my own, but I made friends along the way and a group of us (which was of comparable size to yours) would often agree to meet at a particular albergue and on all but one occasion we were all able to get into the same place. We generally arrived at our destination in the early to mid-afternoon.
One option you could consider is trying to book places in albergues in advance. You won't be able to do this with albergues that are run by the local parish, a pilgrims association or the municipal authorities, but you may be able to do this with private albergues. I was able to book places in advance at private albergues in the Basque Country and La Rioja during my first week on the Camino. Private albergues do, however, tend to be smaller than the parish, association or municipal albergues.
Failing that, you could look at staying in pensions or hotels. You should definitely be able to book those in advance, and the pensions in particular aren't too pricey - 25 to 35 euros for a night. I was able to walk into a pension on a few occasions and successfully get a room, but I was on my own. You may want to contact them the day before given there will be seven of you.