That sounds like a pretty good approach. I guess I could do that in salt water. But, in fresh water, my BT is dead neutral (with 12Ah batteries and nothing added but a single bolt snap on the nose) with all the internal weight plates removed. So, no way to make it positive at all without changing to smaller batteries.
That's the primary reason I am using 9 Ah Waitley batteries in caves. They allow enough reserve buoyancy for me to weight a BlackTip 2-3 oz positive, which ensures it stays off the floor when placing a jump, etc.
As noted in a prior post, in some situations it works well to place the DPV nose up between your thighs (and the BlackTip's nose up trim is a benefit there). In other situations, you can just let it float beside you and in still others it makes more sense to clip it off to a butt D ring or shoulder D ring. All three are good skills to have but all three benefit from a scooter that is very slightly positive, so that it doesn't sink to the bottom. When using a butt D ring, it also needs to have level trim and slightly positive buoyancy so that it has minimum interference with your legs. That's where the P1 and P2 shine, compared to a BlackTip.