I’ve known lax players from L’ville who go on to attend top D1 lax programs. They don’t play club during the school year but do play on travel teams in the summer from their home communities. I don’t think it’s been a problem to ‘just’ play for the L’ville team and still have a full recruiting experience. Lax players can’t commit until Sept of junior year, so there is a lot of shifting that goes on a freshmen and sophomores, and the summer following sophomore year.
I also know a top (TOP- on the Tewaaraton list as a freshman) player who played on his high school team (won the state championship twice, so a good team) and he played golf in the fall and did the travel team in the summer. I don’t think he played any tournaments during the school year. He had pretty much the choice of any D1 program he wanted, except probably the Ivies (academically not a fit). His brother is just starting high school and is a really top lax player, but has a lot of learning disabilities. It will be interesting to see which schools will be willing to support his academic needs while he supports the lax team. Again, probably not the Ivies but I can see him getting recruited by Duke or Syracuse.