Best Spyderco Tenacious style knife for deer?

Bigger blades can be more difficult to use. What you have would work fine for cleaning a deer. I'd go with the Tenacious of the two. Personally, if I'd go for the Centofante if it had to be a folder. The VG10 steel will hold an edge better when breaking a deer down. Another thing to consider is that you can carry a Spyderco fixed blade like the Bill Moran horizontally on your belt or inverted on a pack or overall strap. It's a lot easier to live with than a folder in your pocket and it'll never fold up and cut you.