I BIAB in an ACE mash tun/kettle, which is a down market version of your system.
To sparge I use 2 plastic buckets and 9L tea urn.
One Bucket sits on garage floor and an oven shelf sits on that. Upon the oven shelf sits the second bucket which I cut a rake of slices into the bottom of using a small grinder, turning it into a sort of high-sided colander. I dump the bag into the top bucket and let the water from the urn pour on top of it, normally filling the top bucket so it gets a steep as it slowly dribbles through the slices.( If you don't have a grinder then drilling a lot of holes would be just fine.) Once the bottom bucket is full I pour it into the kettle, which has been climbing in temp ready to boil.
I find the volume perfectly takes me to max vol in the kettle, replacing the volume of the dry grain and the water it absorbed. I add a bit of a Campden tablet to the mash tun and to the urn to remove the chlorine from the tap water before the mash. About a quarter tablet in total.
The urn was £35, the buckets were 89p.
An alternative would be to simply use more grain and to up with cold water after the boil, (chlorine wouldn't be an issue post boil, as that burnt elastoplast flavour is a reaction with the grain and the chlorine would come out of solution and float off during fermentation. Chloramines wouldn't do that but the top up volume would be small enough not to matter. Also Highland tap water is super soft) but the increased waste bothers me and this hobby attracts people who like to maximise efficiency in systems.
Sparging with BIAB only gets you a bit more beer, not better beer, so good luck with whatever you do.