Start your own group then you don’t have to wait. When I have to pug, as much as I don’t like pugging, I’ll push my key or a friend’s key and we’ll pug the rest of the group.
Delves were added as a 4th pillar, for people who enjoy solo content, so yeah it will be challenging for some. I find them a breeze even on this character and she’s not really geared, but the option is there for solo players to get some gear.