Hi Amazondelaide,
It's a bummer when you find a niche with a really high sell through rate and end up with no supplier :(
I have done past searches for No No Hair Removal systems for other members and unfortunately I have found no true wholesaler for this product. Kindly refer to this
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Might be best to stay clear of the suppliers from Alibaba, you said it yourself, they are "dubious".
"Hair removal products" is general a promising niche based on the previous research we did -
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All the best!