To attempt to answer the OP's question and not go off on a tangent about full hook up sites....
The only sure solution when the RV tank is bigger than the blue tote is to simply dump more often, before your holding tank reaches or exceeds the capacity of the blue tote. And yes, this may mean one trip for the black tank and one trip for the kitchen galley tank, and one trip for the shower tank. But the surest way to keep from overfilling, is simply to learn by experience how often you should dump your tanks.
First, the gages in the camper that shows the level of your tanks is 100% unreliable. You need to learn your camper, know your own usage, and keep a mental track in your head about your water usage. This is really the best way, and the only way I do it.
First, I never hook up to city water with a hose. I fill my fresh water tank. I know how many gallons this holds and this is usually my first key is tracking my usage. The sensors seem to be a little more reliable on the fresh water tank than any of the holding tanks.
I've had a 32 gallon Barker Blue Tote for about 25 years now. Same one. 3 of my 4 RVs all have had larger than 32 gallon holding tanks (Grey-Grey-Black). And we camp mostly at State Parks that have only electric on site. No full hook-ups and sometime we stay for 2 week at a time. And I've overflowed the blue tote only a couple times in the beginning.
I have found dumping every 2 days is our norm. In 2 days we will use right at 30 gallons of water between all tanks.
I use a Flush King slide valve on my black-grey outlet. In 2 days I dump everything in the black tank. Then I use the shower grey tank and back flush into the the black tank. 2 days equals 4 showers on average. This is enough water to back flush into the black tank and rinse it out.
1. Dump black tank.
2. Back flush shower water 3 times
3. Release the rest of the shower water
every 2 days and this equals about 30 gallons, tanks are now empty.
Of course, if camping on a week-end, we can just wait and dump at the dump station. But longer than 2 days and this is how we do it. Except for the very beginning, I've never overfilled the Blue Tote, and my black tank is always odor free and clean.
On more observation... weight. My 32 gallon, 4 wheeled, side mounted discharge valve IS NOT hard to move around, even on grass. I use it at home all the time and drag it over grass to my septic tank (Yes, we use the camper 24x7 at home and I dump the tanks every 2 days).
We have camped in Florida sand before, and we have camped on some pretty hilly and small mountain ridges where the only thing relatively flat was the actual pad for the camper to sit. The tote was located down hill from the road, and on a couple occasions, actually in mud. How did I get the tote up-hill filled and onto the road? Tie a rope to it and pull the rope from the road with your vehicle. Come right up. Once on pavement or asphalt, very easy to move.
One more thing, about putting the handle over ball of the hitch ... well ... I took care of that years and years ago. And now that I have a 5er, I don't even have a bumper hitch any more. Here's what I came up with a long-long-long time ago when the handle popped off the ball once (and only time)....
No, no, no ... not this this way:
Do it this way. The handle never comes off: