You'll probably get better advice from these all wood bowyers than me, but..... I have worked with a lot of red oak building cabinets and furniture.
For really tight radius work i like to soak my boards over night in water, then put them in my steamer for about an hour, then clamp them up to my form and let them dry a couple days. But.... It depends on the thickness of the material you are bending, and the current MC levels, as well as the radius.... you will get quite a bit of spring back from red oak.
With wood bows, introducing too much moisture during the steaming process might not be beneficial due to drying time afterwards. If its bone dry now... i think steaming after soaking it awhile would work ok. if it's 12% or higher MC level, you might just need heat to bend it.... .02 cents worth..... Kirk