As with any hammock, it is simply a matter of how well you can get the net out of the way ( whether fully removable like on a Speer, or one of the zippered approaches ). If you can get it pretty much out of the way, then you can use the PeaPod on non-bridge hammocks.
How well it will work will depend on various other factors, primarily width and length. I think I have tried it on my HH Explorer UL No Net, and I think it worked OK but I can't really remember. But I suspect it would work even better on a shorter Expedition or Backpacker UL.
I see you have a BIAS hammock and a PeaPod already. Are you looking to but an HH?
For I consider that the sufferings of this present time are not worthy to be compared with the glory that is to be revealed to us....that the creation itself also will be set free from its slavery to corruption into the freedom of the glory of the children of God. For we know that the whole creation groans and suffers the pains of childbirth together until now.