Some Exact Audio Copy/FLAC set up details ...
I can't safely walk you through the steps, because though I did it,....its a little while ago and I can't remember the details precisely.
But what you want to do, can be done. Exact Audio Copy will rip the CD data, then use any external compressor (FLAC in your case) to recode the WAV file.
Exact Audio Copy will recognize the disc in your drive. You can set it to automatically check the online database for title and track info, so that will all be spelled out and ready to go (or ready for you to review).
The tags and labels all look OK? Just click the one button, (it says MP3 on the EAC button, but it will function for whatever external compression program you've set up EAC to use - so you click the MP3 button, but its really FLAC that'll be used).
Now EAC will rip the CD to WAV. , code to FLAC, automatically delete the WAV. and save the FLAC. It'll end up in the Folder you've picked, named according to the online database.
First download FLAC Frontend. Google FLAC Frontend Download or FLAC Download and you should find it easily.
Then download and set up EAC. In setting it up the first time, tell it you want to use an external program for compression and tell it which program and where to find it (there's a string you'll enter into an EAC box, its detailed in the link).