First we have this...
... normal develops into flapless(you find this out once you are outbound)flaps stuck
then, this...
Non enough fuel to divert as you have diverted already.
...
So, we have what might be called a not too favorable situation.
Then, we have had this suggested...
I certainly wouldn't want to rush into a non-normal approach and landing without having 'run the checklist' and briefed everyone concerned.
Landing distance available, Wet/Dry runway, Affected systems, Missed approach considerations, Cabin Crew / ATC / Flight deck (re) brief
IF fuel is really critical, no amount of 'briefing' is going to do much good.
Not time for committee meetings ....time for considered action on the part of the Commander.
Could you do all that while outbound, flying/monitoring the approach?
In a really critical situation (IE: very low fuel), I would suggest that if one cannot, the pointy end is not the place to be...especially for a Commander.