Soydechiapas (love the name!), I don't think you have said what age these students are.
I have come across three type of student groups, of two different kinds.
The first group was made up of Irish Theology students, must have been 20 years old or so, walking with their Dean. Along the way they reflected on the history of the Camino, learned about the art work associated with it, and made links between the art and theology. I rean into them in Najera and you would never have guessed they were a group if it wasn't for listening to them thinking and learning. I'm guessing they were 10 or 12 with two members of faculty. I wish I had been part of that group to learn as they were learning.
The other two groups were Spanish teenagers - clearly teenagers. Boys in one, girls in the other. And the dynamic was incredibly different. This was a school trip like any other for them. Plus I think their bags were being carried for them, so so much for the "true experience" in their case. Groups were much larger, perhaps 25 each. Ran into them ... yes... during the last 100km. Their grooming process was taking forever: long showers (as in no hot water for anyone else, including the rest of their friends), lots of perfume and cologne ;0) Eating in catered meals in separate rooms of the albergues. Did not witness any sort of "teaching", but there may have been. On the trail it was skipping, running, signing all the way. Introspection?
Yes the Camino is for everyone, but I can understand those who say that the children should walk it with their parents. I understand this if the idea is to bring 20 schoolage kids to walk 3 or 4 days and not anchor this experience in anything but observation and a good time.
The truth is that there is no way they can get a "real experience" in such a group. There is no instropection, no sharing or interaction with strangers, no pain or sacrifice (short distance with no bags). The albergues that would accomodate you with reservations would also not be the ones that stand out as a life experience like Gragnon, San Bol, San Juan de Ortega, etc., those that would are just like going to any other albergue juvenil which are there for any group activity, camino or not (like Donostia or Gernika on the Norte).
If you want to make this a "truer experience" and are thinking of school age kids/teenagers, I would suggest a small group (a maximum of 8) and a lot of work on the history of Spain, theology, art history and public-spiritedness before they leave. This will teach them much more than taking over beds in a albergue while still not engaging with the other pilgrim (who after all will be old and borning to them ;0) )
Staying in an albergue or hotel won't make that much of a difference in that context. I would also skip the last 100km and do another part of the Camino, more beautiful for sure and a "truer experience" so they are not part of the "race" of the "linear Disney Land". OK, no poster for them to hang in their room, (Compostela), but perhaps more learning and more meaningful memories. Roncesvalles to Burgos perhaps, or Logrono if you want a shorter walk. And if you wanted something truly unforgetable: St-Jean-Pied-de-Port! THAT is something they will never forget and will give them a good sense of the sacrifices people made and make to pray in Santiago (and will keep them nice and tired ;0) ) Think of stages where particular experiences are possible like contact with the nuns in Leon, the monks in Rabanal del Camino or again San Juan de Ortega (where there is nothing to entertain them and the monastery is cold and humid and the mattresses, well .... old). And when they get to Santiago get them the certificate of distance to put on their wall ;0)