So you do indeed have a more complex situation, but there is a solution. In your case you're forced into having a sub-panel (a second box of circuit breakers). In this case, you will feed the sub-panel with 120v (single line from your main breaker box on a single breaker, hence on one phase) using something like a 40 or 50 amp breaker. Then all breakers in your sub-panel are on the same phase by default. Your sub-panel can then have the required number of breakers for the number of duplex outlets you wish to have; example, 5 20-amp breakers feeding 5 separate outlets. The amperage of the individual breakers will be greater than the single breaker feeding the su-panel, but this is normal; just like is true in your main breaker box.
Important: While some would question why have more outlets / feeds than one or two, the answer is that it provides built-in isolation between the lines. For example, much of the higher frequency hash that digital equipment feeds back onto the AC line will have "fallen off" by the time it gets all the way back to the sub-panel and back to another outlet. This is easily proven with a scope or spectrum analyzer. It is why many of us have separate lines for each class of equipment: turntable motor, analog (phone preamp / preamp), digital gear, amps (1 feed per amp), video gear (if appropriate).
Good luck with your project!!