Another possibility @neoteric - which I think nicely meets most...

Another possibility @neoteric - which I think nicely meets most of your criteria, IMHO.

Briscoes, ASX:BGP.  BGP is one of NZ's largest chains of homeware stores and also has the rebel sport franchise in NZ.  ~80 stores in NZ.  They announced their headline fy18 results this morning (for 12 months to 28 Jan 18!!  That's superfast reporting, and suggesting good management of the business - essential in a retailer, IMHO).

They recently dual-listed on the ASX.  Not clear why, perhaps they wanted to acquire in Australia (Kathmandu KMD might have been the target).  BGP is owned approx. 80% by Rod Duke (MD).  BGP IPO-ed years ago when Duke sold 25% of his stake, but he has slowly been increasing it again (still buying quite recently).

BGP grew profits 7.6% YoY in FY18, online sales were up 30% YOY in FY18 (but still only 7-8% of total sales, I guess), their 5 yr track record is ~6% rev growth pa and >15% eps growth pa., and their 10 yr EPS record is 19% growth p.a.  BGP has no debt - indeed about NZ$60m net cash, and an equity stake in KMD worth ~NZ$75m.  5yr average ROE is ~28%.  PE on fy18 earnings is about 12.5x, and on around 7.5x EV/EBITDA.  I hold.