I was thinking of just saying "lets grab drink at xyz place after your class on weds"
This is always the way to go.
We don't know each other well
That's what the entire purpose of the date is for. She's in the same boat as you.
so i'd rather this date be over a drink, hop to another venue
I know the "venue hop" is common advice in PUA Land on a first date to simulate as if it's been several dates (IE, increasing the chance of sex) but it's not a modern technique, IMHO. I advise against it unless the venue is back to your place or hers. Working women are going to start running out of steam in the evening. Do you want them at full energy at your place, or at Bob's Beer Hut?
Show up on the date, look good, be honest to the point of shocking playfulness (this, more than anything completely disarms women-see Hanky Moody in Californication on Netflix), and gauge how the flow is going. for me, it's usually about 45 minutes to the mental "peak", and that's when I tell a woman I'm walking her to her car. Often they'll say "already?" And I'll be like "yep". then go for the kiss outside the restaurant and invite her back.