Sounds like a good plan. I did something along those lines, in that some of my training was done while I had a regular job and life.

Should not be too hard, there is no minimum requirement for daytime flying, so you could do the majority of your training at night if it came down to it.

I was not career oriented at the time so I didn't fly with any particular consistency but if you dedicated yourself I'm sure you could fly 2-3 times during the week and 1-2 times on the weekend...maybe more if you cleared your weekend schedule.