Hi Mel, your plan sounds real good, Logrono to Burgos is an excellent choice, only thing is that in most of the towns in the middle you probably wont find any "luxuries", but some private albergues with private rooms are available in those towns (Navarrete, Belorado etc). For Santo Domingo look for a room in the "Parador Nacional", in Burgos I recommend the hotel Abba Burgos, very nice place they treat you like a King. In Najera the hostels are fine.
In Logrono you'll find several 5 star hotels you wont have a problem to book a room there. No matter what, you try to get the credential, in the Parador you can probaly get a good discount with the credential, you pay like 120-150 euros instead of 250-300 euros.
As for the food in this part of la Rioja, almost every single place is more than excellent, oh !! and the wines, I dont have to tell, you'll find out for your self...
Buen Camino
PD: September is the best time to do it (not too many pilgrims and climate is good)