I have a very shallow baking tray, the whole machine is also slightly lifted up as we have it on a rubber mat to reduce vibration, which helps with drain access. Though you might not be able to fit this if you have it under a kitchen counter.
If it's going to be a lot then I stick a big towel under there. If you have the mini pipe thing, then what you can do is tilt it down to empty a bit, then when your tray/towel is getting too full, flip the pipe up and stopper it, empty the thing, go back to the pipe. This is annoying and takes forever, but will spill less.
It is tricky to carry a full baking tray very far, so I usually have a wide mixing bowl or saucepan next to me to tip the tray into. Then it only splashes a bit and it's easier to empty the bowl or pan into the sink.
Generally you should not be having huge amounts of water to empty from here, but it is a massive pain when you do - if it's happening frequently, it might be worth calling in an engineer or looking at pricing up a new machine.
In some European countries it is normal to have the washing machine installed in a bathroom which is like a wetroom with a floor drain, or a cellar again with floor drain. I am sure this is what manufacturers are picturing when they design these things, though I also do understand it has to be low down simply due to gravity.
What I did find is that my current machine's filter behaves differently to the previous one. My old machine used to get items like baby socks and forgotten pantyliners stuck at the bottom of the door, which was one of the drain holes. But this hole was too small for things that size to go through to the filter. My current machine must have a bigger pipe to the filter, because colour catchers and pantyliners can get sucked into it and then because they are bigger, they completely clog it up so that the machine will stop running in the middle of a cycle, because it can't drain at all. Then I have to do this laborious 100x emptying thing, and when it happened even the pipe was only dripping. So I have learnt that I need to check that filter at least every couple of months in order for this not to happen. When the machine is empty, the amount of water which comes out of the little pipe is much less and is able to be caught just in the baking tray, and this is 99% of the time all that I need to do. (I think I haven't checked it in a while, this has prompted me to look!)