I took this antibiotic for aaaaages (years) and have only just come off it, and I had no idea you had to avoid milk - i took it with milk loads I think!
As far as my experience goes, I didn't have any issues with this, and I even drank alcohol for the entirety of my treatment and it didn't affect me at all (as far as I know), the only think I was wary of was that it decreases the effectiveness of the contraceptive pill - not an issue in your case!
If you are worried, then just take the antibiotic as far away (time wise) from your weight gain shake.