Dulwich is located smack bang in the middle of Jin Qiao's Green City which is where there are oodles of villas and apartments with loads of expat families living in them. Most of the kids can walk to school in the area and it is really extremely convenient for family life. There are villa compounds like Green Villas, Regency Park, Vizcaya, Shimao Lakeside, Greenhills and Willowbrook in the area and a few apartment complexes as well like Green Court, Dawn Garden and Shimao Lakeside Apts. Prices range from 16k rmb for 3 bed apt to 80k rmb for a large 5 bedroom villa.
If you search on this forum you will find plenty of advice on the housing there.
Also worthwhile to join up to groups like moms in pudong and shanghai mammas as there's tons of good advice on these forums as well and you can chum up with families in no time at all.
Another good site to check out (and place to visit whilst on your Look See) is the Shanghai Community Centre. Their Pudong branch is located in Greenhills Villa's clubhouse.
The schools are on summer holidays and it will take awhile for them to respond. It is such a pain this time of the year as this is when families are coming. I would put through a call and mail again to try to get some replies. Also, ask your agent to hassle them as well.
Have a look at our Advice on Leasing on our website for some real estate tips.
Happy Home Hunting.
Adrienne