I found the HPG Kit bag too bouncy. Same with any sort of belly band and any gun over 15 oz.
My best solution for running with stuff concealed is:
Decent gun belt and OWB holster directly on skin with shirt over. I have carried as small as a G42 and as large as a G19 comfortably at 4:00.
Second small belly band elastic type belt for phone, keys, etc. just above the gun belt.
Hope thats helpful and you probably have what you need laying around the house to test it.