I understand when using Chinese glyphs and possibly Arabic script, the sms limit seems to be about 35. These are non-Latin characters. This compares with the emoji limit of 35 you are experiencing.
I think that Android 4.4 or higher eevices support emoji in their character sets. The character limit is not an App Inventor imposed limit, it is a limit imposed by Android and whether a device is capable of only sms or mms. I read some devices automatically convert an overly long sms to a mms (multimedia sms) to get the longer text to appear. I only have Android 4.0 on my phone, so I can not test what you are experiencing. I think also that AI2 can not, on its own generate an mms ..but do not know because I do not have the proper hardware.
The 160 (or possibly 35 or less) character limit is discussed here:
Perhaps someone else has some ideas or other comments for you Charles?
Regards,
Steve