3BH on Thanos, or Strange?

https://mpq.gamependium.com/rosters/froggerjohn/revisions/145
With 20 4*s at 13 covers and awaiting iso, and no one on my critical short-list needing 3* feeder covers, I'm thinking that my best 3BH candidate right now would be to level Thanos (232) and/or Strange (220) to 266.
My first thought was Thanos, since I use him all the time, and rarely seem to utilize Strange any more.
That said, Strange is killing it right now with R&G in Strange Sights. (My champed R&G is relatively new to me, but I'm guessing that there's still limited opportunities for Strange in 4* land).
With 20 4*s at 13 covers and awaiting iso, and no one on my critical short-list needing 3* feeder covers, I'm thinking that my best 3BH candidate right now would be to level Thanos (232) and/or Strange (220) to 266.
My first thought was Thanos, since I use him all the time, and rarely seem to utilize Strange any more.
That said, Strange is killing it right now with R&G in Strange Sights. (My champed R&G is relatively new to me, but I'm guessing that there's still limited opportunities for Strange in 4* land).
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Once you have a usable Okoye (I'm not sure OP's 1/0/1 counts as that), 3* Thanos is actually superior for fast clears since his Court Death benefits from Wakanda Forever. the Stun Thano5 brings to the table prevents the bonus damage. though that might be different on a champed Thano5, mine is 5/0/2 lvl 345. both benefit from strikes though, so maybe Thano5 + 4ocket is faster than Thano3 + Okoye? hard to say given my roster
My 3* Thanos is currently at a point where he outperforms 5* Thanos also like OP will. Apart from the stun the other advantage 5* Thanos enjoys is the reduced damage to allies but as you say if you have a usable Okoye then it won't matter a lot.
Dr. Strange: 10,809 Health; 2180 damage on blue stun each turn at 5 covers; 2114 damage on yellow flames
Thanos: 19,591 Health; 5020 damage to enemies and 1285 to allies on Court Death at 5 covers.
I use my 3-star Thanos daily in PvE as a 5-star player, mostly because my 5-Thanos isn't there yet and also because 3-Thanos doesn't stun on Court Death, making him much more useful with Okoye. My 5-Strange isn't there yet either, so I'm still using 3-Strange when called for. This is sparingly, except for any event with Mindless Ones (edit: or other tile spammers like ninjas or symbiotes) like the current Strange Sights event (which is run often). Last night, for example, I finished 2nd on my initial clears in SCL8 using Kitty/Grocket/Strange; that's fast.
I use Thanos, like everyone else, to power though the easy nodes in PvE and the 3* nodes in DDQ. But what I found is that Thanos's Court Death, especially when paired with Rocket & Gamora (who I see you have champed), wiped the enemy team no problem even without having Thanos at max level. Increasing Thanos's level just increased the amount of self-harm every time it fired.
On the other hand, while I tend to use Strange less frequently and more situationally, those situations involve a) when he's boosted, or b) when I need to hit tile spammers for max damage as quickly as possible. Strange isn't going to down an enemy with one blast at any level but over multiple blasts that extra damage can add up and can spell the difference between finishing off a goon or eating 5K+ damage from a goon with 100 health left. And the extra healing he gives, while not significant, is a bonus.
One of my go-to teams in PvE against tile spammers is Strange + Valkyrie + a strategic third. Use supports to make your strongest color match your strongest power, then watch as the goons kindly fill up your AP. Some examples:
w 4* Luke Cage, yellow as strongest color for Luke's Hero for Hire (my go-to team vs Mindless Ones)
w 4* Rocket, blue as strongest color for Strange's Crimson Bands or Rocket's Pack
w 4* ME Hulk, purple as strongest color, Gamma Powerbomb
Right now, I'm doing 4716 on Court Death, so it's less of an improvement than I thought at the max of 5020. (And even less of a relative impact when paired with Grocket strikes).
My Strange is 2002 blue, and 1934 yellow. The latter goes to 2114 (thanks for the numbers Dormammu) which is 10% more, but I don't think I'd ever run Strange in PvE without Grocket, which again lessens the impact I'd see from a raw boost.
I'll pay attention to the number of times I leave enemies with slivers of health, and in the meantime, I realized an alternate 3BH goal of getting some of the lower-level 4stars, even ones I'm not eager to use, at least up to 10 covers so I can do SHIELD training at level 209. So for now, I moved the 3BH to She-Hulk to feed my 4/3/2 Gwenpool.
Consider the amount of matches and time it takes just to clear the three easy nodes four times. That's twelve total fights and thirty-six total opponents.
Using three 5-stars who down one opponent per match-3:
36 match-3s and about 9 minutes
Using R&G + Guardian/Kitty and Medusa downs 3 opponents per two match-3s:
24 match-3s and about 6 minutes
Using any of the above with Thanos downs 3 opponents in one match-3:
12 match-3s and about 3 minutes