based upon doing the math of adding in unused games the true order of finish/draft order seems to be
1   UNM
2   Utah
3   Tyrion
4   Yall
5   Champkind
6   Pitts
7   Gains
8   Lucky Strikes
9   Juggs
10   Sauce Castillos
11   Larkin Needs a Home
12   Birdman
13   Brahma Bull
14   Toines
15   Bada Bing
16   Keyboard Gangster
17   kWhit10
18   Jackalopes
19   Down w Brown
20   MMSB
Therefore the following teams are tied to the following lottery results...(however if said team has more than 75 unused games are ineligible for a top 3 pick unless they traded their pick....however if they acquired another....they are still ineligible for a top 3 pick)
Gains                    Nuggets
Lucky Strikes            Clippers
Juggs                    Clippers via Pistons
Sauce Castillos             Hornets
Larkin Needs a Home      76ers
Birdman                    Knicks
Brahma Bull           Cavs via Nets
Toines                   Kings
Bada Bing                  Bulls
Keyboard Gangster      Magic
kWhit10                   Hawks
Jackalopes                   Mavs
Down w Brown          Grizz
MMSB                 Suns
Just wanted to make sure we were all on the same page here about the current #7 (Toines) and #14 (Gainesville) picks. 
Gainesville Red Claws have the right to swap picks. You swapped them already in the final standings/draft order post, but I'll obviously wait till after the lottery to exercise (or not) the swap.
It also looks like outside of that swap, other traded #1 pics are not reflected yet (since I believe MMSB actually owns the TB pick currently)