Redirect Logged members on specific page

As noted on the Description page,

If you would like support for

1. entering a custom redirection url, iow. a specific page
2. bbPress
3. multi-site

then you may be interested in http://www.philopress.com/products/bp-simple-private-pro/

My apologies – I misread your question.
This plugin has no affect on logged in members.

For your task, have you tried this plugin:
https://wordpress.org/plugins/buddypress-login-redirect/

Or the code here:
http://buddydev.com/buddypress/buddypress-trick-redirect-users-to-their-profile-on-login/
You could adjust that code to redirect wherever you like.