The middle where the trigger finger goes IS fairly thin but not overly so.
The choice of wood will definetly make a difference. Many hardwoods are certainly hard enough but a lot of them are brittle and prone to easily splitting across the grain. Oak is one such wood with cherry and black walnut being others. On the other hand some hardwoods such as maple, arbutus, zebrawood, and others are quite flexible and stringly across the grain and resist splitting quite well.
One trick I would suggest for this shape of grips and given how tall they are is to shape the rear with a little bit of an arch at the thin spot. That way when the screws flex the grip down flat to the frame there's a little tension to aid in holding the upper extension more firmly to the frame. That alone will aid in avoiding stuff getting a hold on the wood and pulling it away.
If you don't mind a project and have some tools try a quicky set of your own making. For this I'd suggest something such as maple if you like the idea of a honey blond look following varnish or oil finishing. For a darker options I can suggest Padauk and lacewood as nice to work with and quite resiliient to cross grain flexing to make them split resistant. Red gum wood is another.
If you buy from a place which is more than just a "wood department store" the operator may know more options if you tell him what it's for and that you need a wood that isn't too brittle when flexed a little across the grain. Using maple as an example will give him an idea of the sort of traits you're looking for. Also you don't want a wood, like cocobolo or lignum vitae, that are extremly hard and difficult to work with using regular hand tools, files and sandpaper.
If you do take on the challenge be sure to start with longer blanks and use the non carved portion as something to hold onto in your vise. Alternately flatten and slightly arch the back and then drill and countersink the screw holes and mount the blanks onto another stick to use as a holder.
Working with coarse metal files that are new works very well on woods of this sort. And it's easier to controll the removal compared to a lot of other options.