Hi @Christine miller , welcome to the forum. How late evening? Logrono isn’t that big a place and the municipal is pretty central. Probably worth checking on google maps for your shortest route once you’ve selected a destination.
Definitely look at Gronze.com for a list of albergues. You may be better off reserving beds in a private albergue to insure you get a bed. The municipal and the Donativo do not take reservations. If you are going this summer they may be full by the time you arrive. Make sure you let them know what time you expect to arrive.