This could mean "where does the ant crawl?" as well, I think. The Hungarian sentence doesn't really stipulate continuous case...
Would 'Hova másik a hangya' translate to 'where is the ant crawling to'? Or, am I misunderstanding the use of hova?
In English, you can't really get away from the sense of "to" at the end, even if it's not there.
Crawl is more like "csuszik/maszik" more or less what ants do. Climb is "maszik" something with longer legs like we humans do... I would accept both, to be honest. Continuous tense and normal present tense should be both accepted as well.
But if it's crawling, it's moving and if it's moving it's moving somewhere (even if it's just in a circle) so why not hova?
Hol mászik? Az asztalon.
Hova mászik? A lekvárhoz.
It depends on whether you want to know the target or just where the ant is right now. For the translation from the given English sentence, both possibilities should be accepted.