When you say mini-lathe, what size is it?
Is it a 7x, 8x, 9x? If it's a 9x I'd suggest one of the cheap AXA styles you can find from a variety of sources, I have one from I believe CDCO Tools in my 9" Seneca Falls lathe and have been very happy with it. If yours is smaller than a 9", I have no experience so kindly disregard.