Yes you can, but you may need to provide some additional documents to Thai authorities such as.
Marriage certificate. or
Birth certificate or Adoption certificate.(for 15 years old or younger.)
Please contact your accommodation partner for more detail regarding the require documents, and you need to make a booking at least 10 days prior to your check-in date to give your accommodation partner enough time to process and review your required documents.
Here are the list of ASQ hotels in Bangkok that offer family packages. Sorting by price, starting from the cheapest.
ASQ Hotels in Bangkok that offer family packages.
Princeton Hotel Bangkok (THB 27,000-38,000/USD 900-1,270)
The Kinn Bangkok hotel (THB 30,000–50,000 /USD 1,000-1,700)
The Silver Palm (THB 42,000 – 100,000/USD 1,400-3,340)
Rembrandt Hotel and Suites Bangkok (THB 44,000–110,000/USD 1,460-3,660)
Aspira Hana Residence Thonglor (THB 45,000 –48,000/USD 1,500-1,600)