Not many selfbow guy's over here.
Yes the ends will split so seal them, And the back will split so seal it too, I would use shellac on the back. I don't know what PVA is ? Wood glue works good and most have some at home.
Seal the ends with wood glue, 2 or 3 coats and reduce the thickness down to about 3/4" for the limb part and 1-1/2" for the handle part.
Years ago I made a hot box with a wire frame, chicken wire, Tomato basket, anything you can think of and wrap it with foil foam foil Insulation and a cheep Thermometer and a light bulb. 100*/38c, I would stay around 100* inside the box, may take a week or so.
weight it in Grams and write it down and keep checking the weight until it quits loosing weight.
What kind of wood?
Air drying is the best way so cut MORE wood and let them dry, after a year you need to have plenty to work with to keep you going.