I tried to buy an EUB stand but there was nothing in stock in local stores and I couldn't find anything I was confident of buying online. There are some good stands for URB, but I wasn't sure they'd work for an EUB like mine with minimal body.
Anyway, the drummers at my church refurbished the house drumkit last week, and there was a pile of discarded bits in the bin at the end of the day. I scored the bottom half of a broken hi-hat stand and the top half of a rusty cymbal boom stand. With the addition of a few bits from my parts bin, I made this:

At first I tried to just rest the bass on the stand, but it was too heavy and it toppled easily. Then I realised I needed to use the bass's weight to hold the stand down down. A nylon pipe fitting made a neat socket for the end-pin to sit in, and now it's a very solid, stable stand. The neck is supported in a bracket made from a couple of surplus rack ears bolted to the cymbal stand and wrapped in plenty of foam padding. There's a loop of elastic cord holding it in place for now, but I'll eventually add a wide strip of velcro.
Project cost: $0.00, a few bits of junk, a couple of bolts, and a satisfying evening in the workshop!