What country would be best to visit where the likelihood of meeting bugs and creepy crawlies is minimised?

Antarctica. Of course you could always wear a bug spray with DEET that will keep the blighters away from you. Spray your room with the local fly spray (as this will be tailored to local bugs dislikes) - Raid is excellent. Do this before you go out at night and then make sure you use plug in mossie killers, keep windows closed and use the air conditioner.