^^^ you bet.

If I use vessel sinks this would be less of an issue. The P-traps would still take up volume in the vanity, but the sinks would not. I'm not sure I want vessel sinks.

Another option is to have custom sinks with the drain at the rear edge of the sink. The P-traps could then be along the back of the vanity (the "P" in a plane parallel to the wall) leaving most of the vanity depth for drawers. However, from my experience with custom SS kitchen sinks, I suspect a pair of custom SS vanity sinks will cost at least $2,000.

If you get an old dresser, keep the fronts and make a set of new drawers but at least 3 inches shorter in depth (not height). On the top drawer a notch may have to be cut to allow the tail pipe to clear. As soon as the tail pipe comes out from under the sink, connect a 45 and turn that pipe to the back of the cabinet where you have the 3" gap from the shorter drawer. INstall the p trap there, and connect to the drain behind the wall. Works perfectly each and every time. Basically the drain lines are in the back of the cabinets and not right under the sinks. You are attaching that to the wall? Another trick is to have a plug attached to the back of the drawer so a blow dryer is always plugged and goes back into the drawer when not in use to save counter space. To make it legal, use a pig tail from drawer and plug into an existing socket that will be installed in the area behind the drawer. It becomes a plug in item.

If any of you are wondering about the angle, it there to clear the sink.

look 171, is the plug in a drawer legal in CA? I understand you are bending the rule by plugging it in, quite sure unless the circuit turns off with drawer closed and has a heat sensor it would not be legal here.

JYI if you are tall you will like vessel sinks, get that added couple of inches in height.

Legal. but need to be GFCI but that's behind the wall. I have done it for years and have never had any issues during rough inspection. By final they never question or even noticed. Perfectly legal to have a plug inside the cabinet. Same circuit as the sink plug on a dedicated breaker.