I'm not sure if the bedding compound would adhere to the hogue material.

I bedded my Howa 1500 in 270, and it made the rifle more consistant. It was a full bed job. I also free floated the barrel in the process.

The inside of the stock is fiberglass/polymer like most any synthetic stock. I would probably cut grooves into the channel around the recoil lug and/or drill a pattern of small diameter holes in the areas to receive bedding to improve the "adherence".

That should work fine then also you might look into reinforcing the forend as they are notoriously flimsy.

I've heard of people putting arrow shafts in the forend and covering them with compound to stiffen them up, but that's probably a little overboard for my purposes. I find that the sporter contour barrel isn't heavy enough to cause the stock to contact the barrel from a rest or on a bipod unless maybe you had it severely canted. I can get it to touch by twisting at the wrist and the end of the forearm, but that just isn't a stress it would typically be subjected to in my hunting/shooting (unless maybe I was trying to stabilize the rifle with the sling).