I wouldn't want to drive in Lebanon either - I've driven all over the USA and Canada and that's perfectly fine for me, but the one other country I've driven in (the UK) was super stressful, mainly because of the narrower roads once you get off the motorways, the RHD (I'm used to making quick glances to my left and longer ones to my right - it's flipped with RHD), plus having to constantly remind myself that the left lane is the slow lane, lol. They drive on the right in Lebanon, but my main concern would be the high number of military checkpoints on the highways that I'd have to stop for if I was driving.
I stayed in the same hotel in the Hamra district of Beirut for a week, and took day tours with a company. One daytrip went out to the Bekka Valley (Anjar, Baalbek and a winery), another to Tyre, Sidon and Maghdouche, another around Beirut, Beiteddine and Deir El Qamar, plus one more to Byblos, Jeita Grotto and Harissa. Lebanon is of course a very compact country (with Beirut right in the centre), so daily day trips from Beirut allowed me to see almost the entire country (minus Tripoli). I couldn't book most of these tours far in advance as they weren't bookable online when I visited Lebanon 3 years ago. The visit to Baalbek (the best preserved Roman ruins I've seen) and the walk through the cedars (never before or since smelt pine as fresh/nice as I did on this trek) were two big highlights for me. I thought that the prices were very reasonable for me at the time - just over $100 CAD per person for a full day trip that included rountrip transportation to/from your hotel and lunch. You'll also meet some more experienced/intrepid travellers in Lebanon, which was a plus for me.
I'm not at all affiliated with this company but I went with them for all my day tours in Lebanon and really enjoyed it -
http://www.nakhal.com/Lebanon/daily-tours