Thoughts Please About Design Strategy for Club Mailing List

I am building a LAMP site on a shared server, Hostpapa, and I want to be able to send emails to a mailing list. I have build sites before, but a mailing list is new to me. Sendmail and cron are not available in this environment. I will have a table for member data, including their email address. I currently have 40 members, and expect to grow to no more than 200. Members will join through a web form, and I want to update the table with a “pending” status. Using data in the table, I want to send emails to each member. I am wondering about load. Will the PHP mail() function be OK? Do I have to be concerned about timeouts? I would like to send a discrete email to each member. Or is just a big BCC going to work? Anything else I should think about? Thanks in advance. -- Stephen