Best thing to do would be to sign in for five minutes on Tuesday, as late as possible, go to the Dreaming City and pick up all five bounties. Then, on Wednesday, you should have plenty of time left on those bounties, and can pick up the ones for Wednesday, and hopefully there won't be too many repeats, so you can get eight, and try to knock them all out. If you can't get them all done, if you're on over the weekend, she usually has one per day for doing a specific Lost Sector. Those go really fast, and you can often knock out bounties for getting kills along the way.