There is nothing called "Tier 1 General (HSMP)". Never was!
You are a HSMP JR migrant issued Tier 1 (General) leave under the old (non PBS) criteria.
With HSMP (and the JRs) a distant memory, no one at local BHC or the local VAC will know anymore that dependants of HSMP JR migrants should use VAF2 form to apply for entry clearance, and not VAF10. And if you try to use VAF2 instead of VAF10, they you will tell you that you are wrong and the application cannot be accepted.
So, your dependants are left with only one option - use VAF10 form to apply for entry clearance along with the required PBS evidences (e.g. - maintenance fund).
See also
Guidance - Tier 1 (General) Dependent application.
On a related note, may I ask why you do not want to apply for settlement? Is the PBS criteria stopping you from doing that or is it for some other personal reason?