I would give her the benefit of the doubt since she's clearly having phone problems. She probably wants people to text her so she doesn't have to enter all the numbers by hand.
One phone call to ask her out would be fine...and would put your number on her new phone.
A lot of girls hate it when guys text for a date...seems like they can't be bothered to call. If she doesn't respond, or has a lame excuse this time, she isn't interested. At least then you'll know for sure--if she's interested, great! If not, you know not to waste your time any more.
I'll keep my fingers crossed for you,