I've had the alpine amps for a long lone time, they're powering a pair of 6x9 Alpine Type R 50w RMS speakers in the front and 6x6 Alpine Type R 50W RMS speakers in the rear along with some separate little tweeters using the crossovers provides with said speakers.
Not sure the exact model numbers as I've had this setup, head unit excluded, for around 8 years and used some or all of it in at least 4 cars.
And yes the DAC is still in the headunit, same as it is with most likely every headunit in the OPs budget.
FWIW, I doubt the OP's GF is an audiophile, given that they're looking at a budget of £100.