Unless you have bookoos of $$$ I would say you will be stuck with checking them using the droppers.
I've seen the probe type devices you are thinking of, but I am not too familiar with them.
What I have seen of them though, it seems as though they are item specific, meaning that one unit checks one specific element (ie. Ph or Gh). I have not seen a unit that checks everything that a FW or SW aquariast needs to monitor. If this holds true, that would mean buying 6 or more separate units which would be very expensive plus very time consuming to plug in and place each probe and wait for a read out.
Test strips are an alternative to the vials and dropper method, but from what I gather and the opinions on this forum, are not as accurate or reliable as the dropper method.
I agree, it is a pain in the butt to check and recheck water on a daily basis when you are setting up a new aquarium, but I do not think there is a viable or as reliable alternative to the dropper method you speak of.
Hang in there though, once the cycle is over and the tank is operating as it should, you can limit your water checks to bi-weekly or monthly as needed to maintain water health.
There really is no more surefire way to know your tank is running as it should than to do water tests.
I recently moved my tank to a new house and, even though my fish never showed no signs of distress or problems, I incurred a nitrate spike. Without testing my water after I moved the tank, I would have never known that I had the potentially deadly spike.