I kept trying this challenge with attempts at various builds, but generally died of either attrition or getting surrounded and screwed over.
It's just that you start the challenge so weak and the extra items don't compensate nearly enough, that it's hard to survive at all.
This time I picked Blademaster (it takes off quickly and it's reliable enough getting what you need) and I managed to luck out of some tough situations and get a manufacturing station right before Asterius Habitat (Making a pair of katanas - the first one came out with Guarded 5 so I rolled the dice again and got a better one that stayed in slot 1 for the rest of the game, relegating the worse one to slot 2 until I replaced it). The simple combo of a nice katana and Bladedancer 3 seemed to turn things around enough to let me replenish supplies.
After I geared up further in Asterius Breach and got my Master, I really snowballed.
I picked Black Site since I had a pair of spare keycards, since I could skip the ammo station that meant I could otherwise clear it out!
Until I got the Demonic Sword, I kept a backup gun in slot 3, but that wasn't really helpful after a while.
I ended the final level prematurely due to melee-moving, whoops. I don't know if I actually had 100% kills before that though.
Crash Gordon, level 16 Technician, defeated
The Summoner against all odds.
He survived for 7397 turns.
The run time was 1h 34m 24s.
He scored 4328 points.
He took MEDIUM risks.
He was an Angel of Confidence!
EUROPA L3 - Volatile Storage
Europa Concourse -> Asterius Habitat L1
Asterius Habitat L2 -> Asterius Breach
Asterius Breach - cleared
IO L3 -> Io Black Site L1
Io Black Site L1 - Low Power
Io Black Site L2 -> Black Site Vaults
Black Site Vaults - cleared
The Shattered Abyss - cleared
BEYOND L2 - Exalted Summons
BEYOND L2 -> Limbo
Limbo - cleared
Awards
Explorer Ribbon (+50)
* Visited all encountered special levels
Conqueror Ribbon (+100)
* Completed all encountered special levels
Confident Bronze Badge
* Reach Io on Angel of Confidence
Confident Silver Badge
* Complete Angel of Confidence (AoCo)
He killed 378 out of 394 enemies.
1 Swordmaster
1 former CRI soldier
19 reavers
2 hellish soldiers
27 ice fiends
11 corrupted soldiers
32 turrets
3 exalted soldiers
3 exalted fiends
6 armored ravagers
12 plasma ravagers
6 siege ravagers
6 CRI bots
6 CRI marines
5 exalted ravagers
1 Summoner
16 fiends
9 fire fiends
26 toxic reavers
2 former CRI guards
9 corrupted grunts
8 ravagers
34 archreavers
15 toxic fiends
4 former CRI grunts
9 hellish commandos
7 corrupted commandos
6 corrupted sergeants
8 security bots
1 hellish sergeant
7 corrupted heavys
2 military bots
6 military sentrys
2 kerbeross
21 security sentrys
4 military drones
3 exalted kerbeross
1 former CRI sergeant
2 cryobeross
5 toxibeross
14 rocket turrets
4 combat drones
11 cryoreavers
11 cybeross
Traits
Skilled L2
Whizkid L2
Juggernaut L3
Sysop L2
Bladedancer L3
BLADEMASTER L3
Trait order
Jgn->Bda->Bda->Bda->Whk->Whk->MBM->Jgn->
Skl->MBM->Jgn->Skl->MBM->Sys->Sys
Equipment
Slot #1 : AV2 katana PB2A
* Critical 25
* Vampiric 1
* Disruptive 3
* Guarded 10
* Frenzy 5
* Deadly 5
Slot #2 : AV3 katana PB
* Disruptive 3
* Vampiric 1
* Momentum
* Surrounded
* Resilient
Slot #3 : demonic sword
* Frenzy 10
* Vampiric 5
Body : AV3 combat armor A
* Critical 10
* Durable
* Auto-med 6
* Heated
Head : AV1 combat helmet B3A
* Health Monitor
* Tech Monitor
* Critical 10
* Durable
* Plated
Utility : AV2 auto AMP
* Auto target tracking
* Auto speed-loader
Inventory
plasma grenade (x2)
gas grenade (x3)
gas grenade (x1)
krak grenade (x2)
frag grenade (x1)
smoke grenade (x3)
CRI phase kit (x2)
stimpack (x2)
large medkit