Part of the answer to your question lies in the placement of the drain within your holding tanks. In our case the black tank is furtherest to the rear of the coach, then the grey tank. The black tank drain is toward the hitch side of the black tank, so a "nose down" attitude helps the black tank drain more completely. The reverse is true for the grey tank.
We generally dump & flush tanks while still in the site, if we have sewer and if the TT is level front to back & side to side I'll get good drainage, with maybe a couple of quarts left in either tank. You'll want to do some exploring to see where each of your tanks empty.
Dump stations - I've seen way too many that are backwards, that is they tilt away from the dump valves and/or are sloped front to back. Because of this I almost always plan our trips where our final site has sewer hook-ups. That way I can thoroughly rinse my tanks without holding anybody else up.
Many years ago I invested in a Sewer Solution because our TT sits very low. As a previous reply to your post mentioned it is not unusual to have a sewer hook-up that is higher than your dump valves. The SS uses a water hose and a venturi effect to literally pump the waste water out. Works great and and the only moving part is a lever that directs the water jet into the dump valve to help backflush.