I should start by saying that I haven't configured LVS for a couple of years, now, and it may have moved on.
That said, when I last did it was very much software that worked at layer 3, not layer 4. If you wanted something that would redirect your incoming TCP/443 connections to one of a pool of back-end servers, LVS was your man. If you wanted something to receive incoming HTTPS connections, decrypt them, and farm the decrypted requests out to a pool of back-end servers, it wasn't your man.
Edit: yes, I'd consider using apache to do the decrypt and redirect-to-the-pool. Furthermore, you could use Linux-HA to control two front-end apache boxes (one live, one hot standby), so that the redirector was still always-up, on an IP address that floated between the two under HA's control.