I would I would say both of those should be your main cirteria. Something to consider...you can improve the drainage issue by amending the soil and/or planting in a raised mound.

Not much you can do about sun exposure, other than take out whatever is shading that area. Here in Arizona, we get temps over 110 degrees for days on end in the summer. My kadota is planted against a south facing rock wall where temps are often over 115, and it just loves that heat.

So my advice, for what it's worth, is pick the sunniest, warmest location you have and work with your drainagage issue as best you can.

Look for a location that gets full sun but that is also somewhat sheltered from the winter winds. The biggest challenge you will have growing figs outdoors is winter low temperatures that can damage your plants. The ideal location would be a sunny sheltered corner. They will also do well planted close to a south facing wall because the wall will radiate some warmth in the winter.

Joe