Ok, I've got some good news and some good news!
The first bit of good news is that I managed to change the standard I/R diode to a new high power part (Maplin Part No. YH70M) and the even better bit of good news is that first impressions seem to suggest that it has transformed the Humax's abysmal Remote Control performance! In the wife's words... "it's like going from normal definition to HD!"

(and there was no sterner critic of the Humax's remote than her...

)
However, as in all these things, there are some considerations to take account of. You'll be replacing a 3mm LED with a 5mm part and that may not sound much but it is when you take account of the construct of the lens end of the remote.
So, having taken the case apart as previously described, take the circuit board out completely. There's no need to remove the actual flexible keyboard itself. You'll need a small 18-25W soldering iron with a small bit, some damp cleaning sponge for the bit, solder (of course) and importantly, some de-soldering braid. You could use a soldering sucker if you have a good one but personally, I much prefer braid as it makes a tidier job of scavenging the old solder from the joint.
If the sound of anything in this paragraph has your palms sweating, then go no further! This conversion is not for you!
Ok, if you are still with me, before you remove the smaller diode (LED) from the board, offer up the new one making sure you match the flats on the side of the lens (also if you look inside the diode, the cathode/anode shapes should match - you'll see what I mean) and make sure you get the bend distance EXACTLY the same as the existing diode. It's important that the back of the LED is hard up against the circuit board in its cut-out. Having put a 90 degree bend in the new one's leads, remove the old one and clean up the mounting holes. They're single sided and so clean up easily.
Now mount and solder the new one in. You can put its leads flat to the circuit board if you want or leave the 90 deg "knee" 1mm clear of the board. Either way will work.
Right, this is the bit that will
definitely void your warranty!

If you offer up the cct board into the top half of the case, you'll notice that even though everything fits fine, the new diode is parallel to the board and given that the lens in the lower half of the case has a slope, you'll quickly realise that although the case will close OK, it won't fully close around the new diode. If you look under the diode (top half of case) you'll see a small rib between the two hooks that hold the circuit board. You'll need your small penknife (or craft knife) to gently pare down a small semi-circle into the centre of this rib to allow the new diode to sink into the gap about 1-2mm. Don't go too far as it will weaken the rib. If you've got it right, the LED should end up at about 5-10degs off parallel in relation to the circuit board and the case will go back on and all should snap shut fine with a good seal and now you can put the batteries back in and enjoy your new super sensitive remote!
The new LED has a 40deg beam angle and I'm sure this helps, along with the higher output, to improve the Remote overall. One little bonus I found out through all of this is that the remote does
NOT drop all of its programmed settings (TV, DVD & AUDIO) even when the batteries are out for extended periods; which is great! Saves me having to search out the darn manual!