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Basically Barber hones millions out there. your best way will be bay at first then member's from srp or classified.
which one most of them will do the job.
swaty ,keen cutter, double duck dry hone....

For this you don't need 1k.3/8 . etc
Above will help you set bevel 1k and sharpen blade 3/8 k/
In case if You already have a good edge just want to refresh your edge then chooses will be
barber...

They are different issues in here.
if you want to keep previously honed razor shave ready you will need to have
barber hone or coticule or chinese 12.
balsa will not be helpful in this situation....

the stones you are talking about is totally has different characters.
At first early mentioned coticule which is in classified you point out is not the real hone it is slurry coticule
Now
Coticule...