I would also say neither is correct. The only possible meaning I can think of is if you're trying to use 'up to' as in 'up to doing something' meaning to be good enough, or strong enough, to doing it. So I might say, "I don't think I'm up to driving for over three hours continuously at that time of day". The first sentence sounds very clumsy but perhaps grammatically it might not be completely incorrect if in the context of a conversation where you're clarifying that actually you've been saying for over three hours that you're up to making this long journey. However, no native speaker would say that.

Neither is correct. Did you mean "I have been driving for more than 3 hours" ? If so, then "over" can be used instead of "more than" as well.

Neither of your sentences has a clear meaning. What do you mean by 'up to'? The first sounds more grammatically correct, but I'm not sure what you're trying to say. The second sounds wrong. Tell us what you want to say by 'up to drive/driving', and we'll try to sort the meaning out for you. Then we'll look at the grammar.