Don't say a race geometry bike is out until you try one.
I was riding a relaxed geometry bike on a Giant OCR3. To be honest- I could never get fully comfortable on it. Back problems led me to raise the bars- and get a shorter stem. Never really cured the problem though.
Next bike was a full race geometry bike. When I picked it up the shop had the bars 3" below the saddle and the stem intiially felt long. I had my doubts but the shop told me to ride it. The stem length was perfect and the height of the bars only caused me a problem in the neck- which had to be re-trained to a new position. I kept the OCR as a foul weather bike- but it is now a loaner to new riders.
And as to any additions- Besides trying the race geometry bikes- just get out and try as many bikes as you can. All of us here have a favourite bike we can recommend- but the 3 you have come up with are popular- along with Giant- Trek- Surley----------
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How long was I in the army? Five foot seven.
Spike Milligan