Hi,
I believe Stanley likely used a short scale bass for piccolo. I know he used to play short scale instruments a lot. The major problem with piccolo tuning is finding a good G string. With a 34" or 35" scale bass, a typical wound string in the range of .022" to .025" will have about 55 pounds of tension according to one person at D'Addario. If you even manage to pull that string to pitch without breaking it, it will be hell to play and wont last long.
AFAIK the only way to get a G up to pitch on a long scale bass is to use a plain G string in the range of about .016" to .018" - of course just about every player hates the feel and the sound of the plain G.
If you go to juststrings.com and search for piccolo, some sets will come up. I think there is a GHS set for long scale that has an .018" plain G. I think your bass is a fiver so you will need to come up with a B string but that would likely something about the size of your normal A string tuned up to B.
You can also order individual or bulk strings and fine tune your own sets.
This whole issue is one of the reasons why I have been asking a lot of questions about short scale instruments over in the basses forum.
Hope this helps and does not confuse.
Peace,
S