BillO - I shoot in a few different Bullseye leagues. Most of the high-end shooters I see these days are using Walther GSPs and Pardinis, with an occasional Hammerli every now and again. The GSP is in the process of being replaced by the new SSP, which is generally not available yet, but I know a few guys who are waiting. After that, it's mostly Smith Mod. 41s and Rugers. Remember that the BE leagues are virtually 100% Red Dots now, so you want to be sure that whatever gun you end up with will take a Weaver mount (most will, sometimes with a little gunsmithing).
I wouldn't recommend making inherent accuracy a big consideration in your purchase decision. All of them, even the entry-level Rugers, are accurate enough to win matches, if the shooter does his/her part. Factors like dependability, adjustments possible to the trigger, and how the gun feels to you are much more important. My first BE gun was a 41, and I never felt limited by it, even when I was capable of shooting scores well into the 280s, which is a bit better than I'm averaging recently. I shoot a GSP now, but routinely get outscored by guys (and some women) with Rugers.
If you think you might be interested in a Walther, PM me and I can put you on to a dealer in MA. I don't believe anyone is selling new Pardinis in state. Mod. 41s are available of course, with lots on the used market and Rugers are available new and used as well.
Also, if you're anywhere near the Nashoba Valley area, we're always looking for new shooters on our team(s). The next season starts in September.