Let's talk teeth! There are more types of grinds, but I feel these are the applicable ones for your question:
Flat top (FT/FTB)
An FT or FTB blade is one which has flat teeth that you're looking for.
Alternate Top Bevel (ATB)
An Alternate Top Bevel (It will be marked ATB on the blade) is one which has alternating beveled teeth, like the one you mentioned.
There are also combination or "all-purpose" blades which have "groups" of teeth, a set of ATB teeth, followed by one flat top tooth.
You're likely to see an FT blade marketed as a rip blade and an ATB marketed as a cross cut blade. The blades will also probably be marked wit the cut, though you can also just look at them and see.
So which one?
The problem you're likely ton encounter is that FT blades are typically meant for ripping, which means you're going to have a smaller number of teeth (they're meant to take big bites), where an ATB blades are for cross cuts, so they are likely to have the larger number of teeth you're looking for.
Combination blades have a large number of teeth, and that finishing flat tooth may get you the flat bottom you're looking for. I think this is probably what you'll want, if the Forrest blade Lee mentioned doesn't do it for you (Forum posts and reviews seem to indicate it's good, but it is pricey).