I, like you, am a 9.5 / 10 depending on brand, last, etc. I also have wide feet. I ordered walnut Strands in 10 EEE and ended up having to go down to 9.5 EEE. The 9.5s fit great.
The funny thing about the 5 last is I have a pair of McTavish, another shoe made on the 5 last, in 9 EEE and they fit just like my Strands in 9.5. My advice, particularly because you are close to a 10, would be to order the Strand in 9.5 EE. Keep in mind that if you order them online during the 90th anniversary sale you get free shipping and free return shipping as well - no penalty if you need to exchange them.
Best of luck.
I don't think the Strand is available in EE? So would you suggest the 9.5 E or the 9.5 EEE?