A few words of advice (I have, uh, a few, lathes....)
Cut or split those logs in half lengthways before they start drying, or they crack. If your town has "scrap paint exchange" at the transfer station, pick up some free latex paint and dip or paint the end grain. You can also use wax, but that costs money. And cut the blanks 2-4" longer than the diameter of the log (this is ALL crack/check control.)
You can turn the bowls utterly green. If you haven't turned utterly green, it's a whole different thing, and you should try it. Of course the bowls end up oval, but that can be a feature... put them in brown paper grocery bags after turning (or rough-turning, if you want them round in the end - make them about an inch thick and you can usually manage to get a round bowl after the inch-thick bowl dries a lot faster than a log and becomes oval.) The brown bags usually work to slow the drying enough to not crack, and not turn into a mass of mold like a plastic bag would.
Then there's microwaving (don't use your wife's) or boiling the roughed bowls (toss in some strings if you like?) which can also speed drying and reduce cracking at the same time (heat can be good, if it's damp heat.)
My preferred "mallet" form is more like a froe club - or a wooden wine/beer bottle, if that helps to envision it. Simple "turn from firewood" project, and if it ever breaks, put it in the fire. This is a large one & is used hard, I have others I treat nicer. On my computer it looks like it at least showed the picture, but it added a white line. I uploaded to "media" rather than trying to load the picture directly, since that did not work for me multiple times earlier.
Go for two - a nice one. Smaller, slightly different approach to the handle. Both were firewood before they got "elevated."