In a "normal" year, your departure would be in the middle of the busy season, and there would be doubts about finding a bed more than anything else. As it is, many pilgrims have decided to sit this year out. But many have also made their plans (including me!) and will be setting off around the same time as you. There is NO chance of finding yourself alone, and there will be lots of people to meet up with. The tricky part this year from a social perspective will be a drastic reduction in the famous albergue communal dinners due to Covid restrictions. Still, the word from people walking over the past month is that even though it is quieter than usual, there are pilgrims out there, albergues open at reduced capacity, and services to be had. Some things are closed, but not most things. As for conditions in a month from now, who knows? My weather prediction is likely to be better than my Covid prediction. Yet, terrific progress has been made in getting people vaccinated, and the odds are looking like the majority of locals will welcome pilgrims with open arms (and open bars!). We like to say that the Camino Provides. Its not clear quite what it will be providing this year - including a possible 10 day self isolation if you get sick - but I expect that it will also be providing what you need when you need it. See you out there......
Buen Camino