IMO, continue where the old group left off, and just do whatever you feel comfortable doing, so long as you don't burn out.
The more time you spend on getting the editing and translation right, the happier readers like me will be, and the less we'll complain about it in the comments, so there's that, too.
If we're complaining about the story/characters instead, then you're doing a fine job.
At any rate, I'd rather have to wait an extra week or two for a chapter than to have to wait another 3-6 months for another group to pick this one up again.