If you are dead set on a EoT, disregard....
Have you thought about one of the microdots instead? A 512 mounted on top of a scope (I assume) is going to be huge and cumbersome. I've been using a Bushnell TRS-25 for my night rodent control; it would save you a lot of money and can go on one of the short, 3 slot sections that mount on your scope. Its a small package that has worked for me on other rifle setups, too.
I've ran a 512 before at night and prefer the small dot versus the EoT reticle in similar situations that you may face.
You may already have or prefer the EoT. If not, I've been down that road and ended up selling the 512 for an Aimpoint T1; but that's another thread! Good luck!!
Edit: I re-read your post and realize you are just looking for a rail to mount the EoT on. Can't help you on the Tikka rail, but still would recommend trying the Bushnell first over the EoT.