This only works at 10th level - at 11th you're giving up two attacks* for +3d12.
* at least 2, that is. Even still at least 2d8+2str/dex+4 for dueling, or 4d6+2str for greatweapons.
Well I guess we need to run some numbers to see the state of things regarding EKs and Poison Spray.
Poison Spray is a Con save, so we can assume the EK is using it against a higher AC foe they’ve fought before with a known modest Con save: the Veteran springs to mind, AC17 and Con+2. I don’t know what a typical EK looks like, so I’ll run the numbers with the stats of a known PC.
Level 10 EK versus CR3 Veteran
2x Rapier+9 d8+7 versus AC17
Poison Spray DC16 versus Con+2
Two rapier attacks
Hits on an 8+ or 65%
Average damage = d8+7 equals 11.5
5 of the 65% hit chance is a critical that averages 9+7 equals 16
So average sword DPR = 2*(0.60*11.5+(0.05*16))
Average sword DPR = 2*(6.9+0.8)
= 15.4
Let’s compare that to Poison Spray and one attack.
One Poison Spray attack
Veteran saves on 14+ or 35% (so EK succeeds 65%)
Average damage = 2d12 equals 13
So average Poison Spray DPR = 0.65*13
Average Poison Spray DPR = 8.45
If we now include one sword attack DPR of 7.7 the combined sword and Poison Spray DPR = 16.15
But this doesn’t account for Eldritch Strike imposing save disadvantage, and if so the save +2 effectively becomes Con-3.
Therefore, one Poison Spray attack at disadvantage
Veteran saves on 19+ or 10% (so EK succeeds 90%)
Average Poison Spray damage = 2d12 equals 13
So average Eldritch Strike Poison Spray DPR = 0.9*13
Average Eldritch Strike Poison Spray DPR = 11.7
However we can only say 65% of the time the Poison Spray DPR is 11.7, because 35% of the time the Poison Spray is 8.45.
So average Eldritch Strike Poison Spray & normal Poison Spray DPR = (0.65*11.7)+(0.35*8.45)
Average Eldritch Strike Poison Spray & normal Poison Spray DPR = 10.56
If we again include the sword attack DPR of 7.7 the combined average sword DPR and Eldritch Strike Poison Spray & normal Poison Spray DPR = 18.26
Two sword swipes of 15.4 versus Poison Spray and sword swipe of 18.26. Looks like Poison Spray works well with this EK at level 10 versus a high AC modest Con save foe. Doesn’t exactly blow me away as a killer combo, more like a tool in the toolbox option.
A 3rd attack versus an extra d12 likely favours the former. That said Eldritch Strike reduces the save chance to such a degree it’d likely be very minor. I suspect the level 11 Poison Spray plus sword swipe still averages higher than 3 sword swipes on this build versus this foe.
3 sword attacks = 3*7.7
= 23.1
11th level Poison Spray = 19.5 (3d12)
65% chance of 17.55 and 35% chance 12.67.
11.41 + 4.43 = 15.84
1 Poison Spray and 1 sword swipe = 23.54 (15.84+7.7)
Wow, 23.1 versus 23.54. Certainly not overpowered.