Hi Joe - I would use vacuum, not pressure, to solve the bubble problem with silicone. I'm guessing if you had a vacuum pump you would already have tried that. Here's something else you can try.
Mix up a small amount of silicone, being as careful as you can to not introduce air. Yeah, I know...good luck with that...stir, don't beat.
Pour the mixed silicone out into a thin sheet (if you have a nylon cutting board or something similar this will make this part less messy). Use a pin / toothpick / whatever to pop the bubbles or move them out of the way so you have a bubble free area. You could then try pouring your bubble free resin into your mold, but the stuff will probably be too stiff to pour easily at this point.
Instead you could try to transfer this bubble free silicone to your mold using a popcicle stick that you sanded to a thin edge (like a spatula). Just fill the rooster flush. If any bubbles show, use the pin / toothpick. When the silicone has cured, pop it out leaving you with a little silicone rooster (those legs may be a little tough to get out).
If you have a whole rooster, then set up a vertical casting mold and glue the rooster to the bottom of the vertical mold. Now you can pour resin. And make your finial blanks.
Alternatively, you might find the silicone putty smooth on sells (or the castin craft stuff at local stores) to be a much better medium for your purpose. You can stuff the putty into the rooster cavity, insuring a complete fill, and then build your mold cavity around it.
Good luck.
Ed