Thomas Edison is reputable. It's a public university in New Jersey, and it's designed for non-traditional students. It's been around for a while.
U of Phoenix offers frequent start dates. They aren't the best ranked uni or anything - but none of those mentioned so far are, so...
You may also want to look at schools that don't have monthly start dates, because it's already April - many schools start their summer terms in May or June. You can thus, if it suits you, also look at the online programs offered by reputable "offline" universities like U Maryland, Penn State, Drexel, Northeastern, UMass Amherst, UMass Dartmouth, Florida State, U Denver, Ball State, Southern New Hampshire University, Regis University, Tiffin University, and lots more. In fact, check with the unis close to you. At least some of them may offer online degree programs.
If you can find a uni in the state in which you have legal residence, and it's a public university or community college, you'll also qualify for the lower, in-state rate on tuition - which is a bonus.