SSL profile client

If you don't need to terminate a SSL session on the F5 (for example to look into the http headers, manipulate content, oder do some irule shenanigans like url base loadbalaning, you don't neet to do ssl on the f5 at all.

Just use a Performance Layer (Layer 4) type for your VS and the F5 will only do Layer 4 Loadbalancing. You are then a bit of limited in things like load-balancing and persistence. Also TCP optimizations towards client and server are not possible.
Keep in mind, that the VS type will handly traffic differently and you might loose some features.

Overview of all types: https://my.f5.com/manage/s/article/K55185917
Overview of how TCP is handled by the different VS: https://support.f5.com/csp/article/K8082