Yes, I would modern day map drill. I don’t see much benefit in knowing the geography of the ancient world unless it is a great interest of you and your kids.
One book that I like is Then and Now Bible Maps to show both the old and the new which I find helpful for our Bible study, but we don’t use it for map drill.
I am using and like Sonya’s method of studying one area for the whole year. We are using Module 3 (Ancient Rome), but our map drill studies are of the Mediterranean Sea region (modern). Each week we label what we already know (ie. Italy, Sicily, Sardenia, Corsica, Slovenia) and then we add something (ie. Croatia). By the end of the year we should have a really good grasp of this region. We use an atlas and blank outline maps for this.
HTH,
Christie