Sounds like you are looking for a yeshivish type of tour! There are lots of organized tours, but i am not aware of any on lag baomer for your type – most of them are in the summer (like the yavne tour and neve program).
I went to Israel with my friend around this time of year and had a really great time.
We joined some Hoffman/Pesach Levy tours and did alot of touring ourselves (which was in a way more enjoyable).
It’s a beautiful time of year to visit Israel.
Enjoy 😉