I was just playing around with a great circle mapper earlier for the heck of it and easily found an DONE3 ex-HND that would get about 23-24k tier points in the new system. It was 19k TPs (50% on D fare) on JL and QR codes alone, so very easily doable in a single RTW.

Just as a point of reference, the JL and QR flights I had on my example were HND-JFK (JL), LAX-DOH-DUB-DOH-CMN-DOH-MNL (all QR codes, MAD is nearly the same distance as CMN if you prefer Spain to Morocco), then a final CMB-NRT (JL code, UL operated). I had some intra-North America on AS and also MNL-KUL-CMB on MH / UL codes. Just avoid all AA, BA, and IB codes, not difficult because I do the same thing when I put together my own RTWs and credit to AA, those have been punitive for us for a while now, glad we're not the only ones feeling the pain anymore.