Is 2-3hrs flight time (2-3 actual sorties) for 7 days realistic?
I think that's do-able.
A typical flight lesson is about 1.0-1.5 hours of "flight time", with a pre-brief and post-brief to go over the lesson. If you do 2-3 of those you'll be in the air somewhere between 2 and 5 hours, and spend another 1-2 hours on the ground. Add in time for lunch and stretching your legs between flights and you've filled an 8 hour day with training.
How effective that training will be is a different story.
I did a lot of "double header" days when I was wrapping up my training: I would go up with my instructor in the morning, have lunch, then come back and solo for an hour or so working on the stuff I needed to work on.
I think that was an effective way to finish up (because I was working on specific targeted things).
Since you're effectively a "post-solo" student I think you'll fall into this box: Spend a day or two with an instructor getting the rust off your skills and getting signed off to solo again, knock out your cross-country and night requirements if you don't have them already, and then split your remaining time between flights with your instructor doing checkride prep & solos working out the kinks.
2-4 hours in the air and as much classroom & study time as it takes might get you there - if not you can continue the training in your spare time (before/after work or whatever other activities are tying you up for the rest of the month).
Remember you'll also need to find an examiner to give you your checkride, so plan for that (sometimes they're booked out pretty far in advance).
The flip side of the coin is that I also did a few "double-header" days early on in my training (pre-solo), where my instructor and I would book a 4 hour block and spend 2.5-3 hours in the air.
The extra time in the air was fun (it was enough time to go visit other airports), but in retrospect I don't think it was anywhere near as effective pre-solo as it was post-solo: When you're first learning to fly 1-2 hours in the air each day is about all your brain can handle (at least it was all my brain could handle), and then you need to take the time to digest what you learned, read over the lesson materials, and let the knowledge soak into your head.