the trip of a lifetime or a really dumb idea?

Or something in between, perhaps?

Twenty-four hours of driving, two children, in between cancer treatments. This is what my spouse and I are seriously considering, as an alternative to flying to Florida to visit granparents (or as an alternative to not going anywhere at all).

On the plus side:

• Even with two nights in a hotel and the cost of gas, it would be considerably cheaper than flying four of us to Florida in February/March.
• We would avoid all the hassles of air travel, including the risks of exacerbating my lymphedema.
  
• We wouldn't have to rent a car once we're down there.
• It would be a great way to see parts of the US that we've never seen before.
• Road trips can be full of fun surprises.
  

On the negative side:

• It is a lot of driving, especially with two young (8 and 3 years old) kids in the back seat.
• Even if we left earlier and came back later, our actual time under the Florida sun would be shortened.
• We would need to travel pretty soon after chemo (but not too close to Herceptin) in order to make it worthwhile. I may still be a little green around the gills.
• Road trips can be full of unpleasant surprises.
  

A grave mistake or a fund adventure? I really need your input, my friends.