If the house you are staying is on the golf course route, then it is very easy to get to Golden Peak, which is the most convenient base area IMO. If the house is on the East Vail route, that takes you to the transit center/Parking structure, but still probably most convenient to switch over to the in town bus and go to GP. Ski school offers half day lesson from there starting at 12:40 which includes lift ticket, but it will likely be too tight to try to make it there by then on the 29th.
This doesn't apply since you have been on skis already, but Vail has a great never-ever ski package that includes 3 days instruction and 3 beginner lift tickets (good anywhere on the mountain with your instructor) for around $350. Vail owns several rental shops right at the base areas (including GP) so that you can add skis, etc for an up-charge. The rental shop has ski/boot/shoe storage at GP base (which is comped for private lesson clients and possibly rental shop clients as well).
While there are some groomed blues, heading out to the back bowls your 3rd day on skis is pretty optimistic unless you played college hockey or are really an exceptionally gifted athlete. With that said, I have taken many beginners to the top of chair 3 and skied a lot of the front side greens on their 3rd day on skis. If it is a clear day, this offers some exceptional views and makes for a great mountain experience.
I am not working while you are in town, but PM me if you would like to get recommendations for a Private lesson instructor (which you can include up to 5 of your friends).