This is a very common question and, other than field trialing, you are taking all the steps you can.
Most folks with males don't want the real answer. The real answer is not kind. It can even be insulting. It is not meant to be, but some take it that way, so like Hunt-chessies did, it is done very diplomatically. The simple answer is, that just like in humans, the female controls it all. If you had a well bred female and wanted to breed, what would you look for? Of course, all the OFA, EIC, eye cerf, etc. But once all that is done, they are all the same on paper. Then you would look for championships (you yourself mentioned that he was a bench dog lineage). If you had a hunting dog, you would look for hunting letters after the name. For bench, you would like for show points. Why take a dog with a good line, but no titles when you can pick a dog with a good line AND titles?
What often happens (not saying you, just saying what I see and I am sure Hunt-chessies will concur, although it happens less in his breed since they are not as popular as Labs) is that you marry your dog down. Folks breed to a less than stellar female and take their chances so they can get pups. To each his own, there is no law against it. Of course, a real breed purist would argue that is how all the negative traits wound up in the breed in the first place. I am not that hardline (but I have not dedicated my life to getting a line of dogs to be proud of - those people are judgemental, and maybe with a little bit of correctness).
I tell people if you want to get in to breeding dogs, get a female with good bloodlines and either show or hunt test her or field trial her. Then find a male that is as good or better. If you have the male, all you can do is hunt test or field trial and see if an offer happens because of that activity. I would suggest doing it because it is fun, not to breed the male, because you may be disappointed. You may consider NAHRA as a start. http://www.nahra.org/?template=clublist_entry
I am sure there are tests in your area. A really jam up gun dog should do well enough in these to make it fun for both of you. I don't have any experience in trialing or showing. I have trained my own dogs and have had some blue bloods and some that were less than impressive on paper. Loved all of them and each one was unique. My best bred dog (bench champ/Sr Hunter dam and Master Hunter Sire) was a bilateral cryptorchid and could never be bred. Made a heck of a hunting dog though. If you put every bird he ever picked up in a boat, it would sink a mighty big boat.