Superheat:
I would definitely go for AOW asap while perfecting your already acquired skills, the reason being that as an AOW trainee you will be exposed to deep diving, bouyancy and navigation all of which are almost a necessity if you plan to dive in the ocean off of a dive boat. I do believe that as an OW diver you are limited to a recommended 60ft (as per PADI), which is hardly deep enough for open ocean diving, especially wrecks although many reefs are within your range. This is of course assuming that this is where your interests lie. The AOW course will greatly improve your skills and is worth the investment.
I would recommend avoiding AOW right after OW for pretty much the same reasons.
You should have been introduced to buoyancy and navigation in your OW class. You should then confine yourself to relatively shallow dives while you work on becoming comfortable with those skills.
AOW, in and of itself, will not extend your safe diving range. But experience, coupled with the training, can. You should get that experience first ... in ways that do not exceed your OW training ... before moving on to the next level.
Taking AOW too soon after OW often results in rehashing OW skills rather than learning new ones ... and you come away feeling like you didn't learn anything. It's a theme you see discussed on this board over and over for just that reason. You need to give yourself a chance to work on the skills you already learned before moving to the next level ... at least if you are really interested in improving your skills, rather than simply getting a card that says you're allowed to dive under more varied conditions.
You also need to take AOW with an instructor who's teaching more than the minimum requirements for the class ... because, honestly, most agencies don't require a whole lot to be taught.
For my AOW class, I want to dive with my students first and ascertain that they have reached a minimal proficiency with the basics. If they have not, I will counsel them to gain more experience before taking the class ... otherwise they'll be spending too much time working on things they should have already covered in OW, rather than learning the new material I want to be teaching them.
Bottom line ... you'll get way more out of the AOW class if you're comfortable with the basics you learned in OW before you take it.
... Bob (Grateful Diver)