From what I am getting from you, you want to hold funds that don't pay distributions to minimize taxable income.
It is difficult to find something like XUU or XAW that has this type of structure. However, you could construct a reasonable US portfolio out of Global X's Corporate Class ETFs like HXS and HXQ.
What these funds aim to do is use total return swap contracts with institutions to avoid taxable dividends. In layperson's terms, Global X goes to a financial institution and says "Give me the total returns of the S&P 500 and in return (this is where the swap comes in) I'll give you a fee"
They're "swapping" the total returns of the S&P 500 for a fee.
So, if the S&P 500 returns 8% in appreciation and 2% in dividends, Global X would be paid 10%. This would be reflected in a growing Net Asset Value of the fund, and it would appreciate in price by 10% (minus the fees it has to pay). You have no taxable situations with these funds until you sell, and then they're treated like a capital gain/loss.
The only difficulty here is if you want small cap exposure like what is inside XUU (because this is a total US market ETF which contains small caps) you wouldn't get it, because Global X only has S&P 500 (HXS) and NASDAQ-100 (HXQ) ETFs that cover this for right now.
I know you mentioned you only allow him to invest in no-dividend or low dividend investments. I guess this all depends on your individual opinion, but I would certainly think that something like XAW at 1.5%~ fits that picture of low dividend.