It is not the wing profile itself.
The drag of a biplane was considerable. The two wings interfere with each other.
Consider the Gladiator and the Hurricane. The Gladiator used the RAF 28 airfoil (wiki?) and that airfoil has a max thickness of 9.8% at 30% of cord. Practically a razor blade compared to the Hurricane. However the Gladiator has 323 sq ft of wing area for a 4600lb airplane. The Hurricane has 257 sq ft of wing for a 6400lb plane (MK I ?)
The Gladiator has got about 25% more wing area for surface drag.
Gladiator had a best landing speed of 57mph (not stall speed)
Hurricane had a best landing speed of 67mph.
Gladiator is not getting a lot of lift from that wing area.
But if you throw in all the struts and wires on the biplane the drag really starts to build up.
If you try to use a 250 sq ft biplane wing you need a thicker wing = more drag. Maybe not a lot thicker, Soviet I-15 used a 11.7% air foil (?) and 236sq ft.
At the speeds most biplanes flew they were not running into compressibility problems.
The wakes from the wing interfere with each other creating induced drag.
I don't know if you're quite being fair:
Hurricane has flaps while Gladiator does not - Hurricane stalls at 77mph u/c & flaps up; 63mph u/c & flaps down...
Lift is ^2 function of speed... so while 10 mph isn't large number, it represents >38% increase in lift at speeds in question.
A 38% increase in landing distance is the difference between landing on a small/slow Carrier and overshooting into the deck
If I add another 10 mph to the Hurricane to land with flaps up (sort of splitting the difference between the clean and dirty numbers), the lift has increased >80% versus the weight/wing area difference with the Gladiator of ~75%.
And that matches my understanding of why biplanes clung around: they might have lost in top speed*, but they won when it came time to land/take off.
As you get slower, the effects of wing interference, etc become smaller, and the effects of weight greater.
*When you only have FP propellers/limited power, so top speed of monoplane vs biplane are similar, landing performance takes on greater importance.
There's a similar concern with fixed landing gear - when you're landing in someone's cow pasture/field, landing slow with rugged gear is more important than when you're landing on a concrete strip a couple miles long.
And there is still a significant amount of clean up which may be done on the SBC in addition to @ThomasP 's suggestions . (They will add a little weight which will hurt landing speed, but they will significantly reduce drag) <I would move to internal bombay..>
Attach the top wing to the fuselage with a single pylon, not 4 struts + wires or direct to the fuselage ala Gregor FDB-1
Get rid of the wires on the wings (structural engineering/material <aluminium alloys> have progressed significantly since WWI)
Change the wing end struts to a single pylon (aka Hs.123)