ISO LMS (?) Any advice appreciated!

Looking for recommendations for an LMS solution for a small business of less than 1200 employees.  We are currently using Articulate Online as a patch but in need of a more permanent, long-term solution.

Wish list:

-Single sign-on capability

-Rule based assignment of training

-Reoccurring training assignment automation

-Accurate reporting data capability

-Integration with talentReef a plus

-Communication with Paylocity a plus

-Integration with Sterling a plus