If you have Google account, I suggest you to export your Google Contacts into your phone and then upload to FreeTextSMS.net contacts page. Then you can enjoy composing new SMS with contacts as you do on your Android phone.
See Help on Export or back up Google contacts.
Click Export button in Google Contacts and export your all contacts as
Google CSV format. For example, you can get the file as
contacts.csv in the download folder.
contacts.csv file into FreeTextSMS.net/web
Select Filebutton to choose
Upload Google Contacts CSVbutton below to upload it to server
You can click the right dialogue bubble icon to compose new SMS for some contact:
Especially, you can type part of name or phone number to search out them: