Hit a summer league in a house you want a good spot in. Most houses have at least ONE summer league that draws the die-hards and will get your name out there. If you post the average in your profile, or close to it...and act with the class that it definitely seems you have...you will most likely get offers on decent teams.
That is what I did, and I have a few teams to choose from in the league I want to roll in next winter. It was the only way I was going to be able to get "inside" that league, get my name and face "known". Yes, I ruffled a few feathers and was called a "ringer" more than once while I subbed...but only by immature little guys who couldnt see that I just wanted to bowl in a good league, and on a good team.
Trying to walk in to the meeting of the league of your choice "unknown" will most likely have you put on a pretty crummy team...maybe one of the worst in the league. The good teams KNOW they need a new teammate, and look for him/her in the summer leagues...
Cover your spares...the strikes will still be there when you get back.