There is no substitute for wing area other than thrust. More of either is better at slow speed but walking speed is kinda the lower limit where you transition to prop thrust for flight.
I didn't spend time finding the best resource, but here is a link discussing how to compute stall speed:
https://www.quora.com/How-do-you-calculate-the-stall-speed-of-an-aircraft and it appears to be correct.
If you simplify the formula to just think about the relationship of values you can control in your design, the stall speed is proportional to:
sqrt[ (mostly_constant_value * aircraft_weight) / (wing_area * Clmax) ]
So if you look at the formula: as aircraft weight increases, stall speed increases. As wing area or ClMax increase, stall speed decreases. A 50% change in any of these values would yield the same stall speed change as a 50% change in any of the other values.
For one of my airplanes the stall speed comes out at about 19 mph. If I improve any of these things under my control (weight, wing area, Clmax-via-airfoil) by 50%, then the stall speed drops to about 16 mph.
So ask yourself which is easiest to improve by 50% (or 20% or whatever percent) in your design: 50% wing area increase? 50% weight reduction? or finding an airfoil with 50% better Clmax?
If your goal is lowest stall speed, I would suggest your best energy should be spent optimizing wing area and weight in your design, and then you can circle back around later and try to find a better airfoil, and with that (maybe?) squeeze a few more percent out of the stall speed ... but at that point, the improvements may not be discernible with whatever instrumentation you might have to measure these things in flight. (pitot speed gets really noisy on the low end ... and there's more math I could pull up to show why.)
[ Edit: everyone seems to want to spend the first 1/2 of their project energy by evaluating and picking some optimal airfoil ... and I want to push back against that ... if it was my project I'd start with a clark-y and then do all the other stuff, and come back later and see if it's worth trying to find a more exotic airfoil. ]