One of the things I purchased on the day I picked up my DAMON was a "Sewage Pump" (Macerator pump) which is very much like you describe... I've used it... I did not know when I bought it it was 12vdc so did not have wireing installed for it. However I did have a "Jump Start" battery (Commericial grade jump box, in fact It was not mine, I'd bought it true, but I was trying to make contact with it's owner, a Tow Truck Driver named Pete, so I could deliver it... It was, however, fully charged)
Hooked it up, Turned it on and away went the sewage.
Then the gray water
Then the other gray water
And now it's back in it's carry case
Oh, one other thing... My Damon is a "Bath and a half" type floor plan, The master bath is unaccessable when you are on the road (Slides in) as it's behind the bedroom and with the slides in you have to climb OVER the bed
(The "Half" is about "amidships" (right before the back axel))
The master toilet is a macerator... IT flushes to the front blackwater tank via a 12vdc pump All automatic, Push button, it flushes
As for power... Being WA8YXM I have a RIG RUNNER next to the driver's seat... It's a power strip, uses Andeson Power Poles
I have a 50 foot coil of heavy duty wire
The Power strip is just inside of a window that opens
I don't think I'll have a problem next time I need the pump
I have a 50 foot "Black water" hose (Ok, the hose really is a water hose, and it's really black) The other water hoses are either green or white (potable hoses) but the "Black Water" hose, .... Is Black Had to search some to find a black hose
Worked very well