What about wearing sandalwood fragrance? I usually smell whatever I'm wearing throughout the whole day, and if I'm wearing clothes that don't change daily (i.e. wool sweater instead of cotton shirt) even the subsequent days.
At least on my skin, but Sandalwood tends to stay close to it (I think it may be characteristic of the oil), so I get periodic 'whifs' of it since smell works based on gradients.

Some years ago I wanted most authentic sandalwood, and that was the QED shaving soap, but I've changed since and I prefer (the authentic) sandalwood in blends. The good stuff is expensive though.

If you must stay with just bath products Shikai makes sandalwood shower gel which you may want to check out - it's fragrance sandalwood not essential oil, but you may like it.