Conventional wisdom is that a check valve can malfunction and block the bilge pump from pumping out. Especially with the debris that is typical of some bilges.
However, a lot of people have a set up with a smaller pump as the primary to keep modest amounts of water out of the bilge, and a larger dewatering pump slightly higher in the bilge in case the primary is overwhelmed or fails. If that's the case, then I would argue you could put the check valve in the smaller, primary pump and in the unlikely event it fails and blocks discharge, you can figure it out and replace it when your back up pump starts operating. I would still have an anti-siphon installed in the line with the check valve.
If you only have one bilge pump, I would recommend against it.