This is after a cursory look at things. Haven't looked super close at them just yet.
We agree on the twelve lottery teams, later in the first round my seeding has some notable differences from your first pass. I suspect you may have seeded according to postseason consolation bracket results versus regular season record. But I'm not fully confident I got it right either.
So, I took a crack at the draft order. Lucky and GC should certainly check my work.
*1. Make Me Some Bacon (via Toine's Boys)
*2. Toine's Boys (via Make Me Some Bacon)
*3. Boxer Rebellion (via Juggernauts)
*4. GomesFan
*5. Rusted Rims
*6. Rubio & Friends
*7. Y'all Hate (via Lucky17)
*8. Larry Bird 17
*9. Birdman
*10. Designated Drinkers (via Blake)
*11. Rusted Rims (via Webskins)
*12. Rusted Rims (via Gainesville Celtics)
13. Juggernauts (via Utah Flash)
14. Kwhit1015. Make Me Some Bacon (via Designated Drinkers)
16. Password is Taco
17. Toine's Boys (via Harden's Homeboys)18. Make Me Some Bacon (via Boxer Rebellion)
**19. Make Me Some Bacon (via Ya'll Hate)
**20. Rusted Rims (via Draft Dodgers)