.com backed up and created many files with TSV's not locked in a shiny via egg hatching.I believe .com did something similar for his thread, so I believe this method isn't frowned upon.
Also, the best Pokemon I can think of that would appreciate that IV spread are Pokemon like Quagsire, bulky Venusaur, Swampert, Slowbro, Gastrodon, Tangrowth, Bronzong, Seismitoad...
(I'll edit more in as I'm done)
Awhile ago OD was using Magikarps as a test (which I tried too after). Try using those with one being hex 0 and one being hex 31 then have a spare parent that is 31/31/31/x/31/31 or 31/x/31/31/31/31 whichever spread you want. Until you find an acceptable pattern and/or shiny to lock in. You'll have to save after every egg though x_xIt turns out the non-everstone nature is Naughty, with a low random IV in sdef :/
looks like this spread will be relegated to tr and/or -spe mons :(
Still, it IS nice to have at least that much.
Edit: Forgot to answer the spread question, I'd personally keep going u_u