I’ve thought about this as well…my ‘easy’ solution would be something like this (actually I’ve got 2, so here they both are!) –
Open bleed nipple on caliper and leave it open…attach hose to nipple and put into a bottle.
Open reservoir and pour brake fluid in…this will go through the system and eventually will squirt out the hose into the bottle attached to the nipple…the difficult bit is maintaining the topping up bit in the reservoir.
After 10 seconds of dribbling out the nipple, tighten it up and stop pouring fluid into reservoir.
Any excess will be expelled when you replace top cap.
(this is essentially what you do when you bleed top-down, but air is easier to make rise rather than fall).
Second option (and my preferred option) –
Very, very large syringe, hose on end and attached to the bleed nipple.
Open top cap.
Push plunger in syringe so new fluid is forced into the system.
Once fluid starts leaking from reservoir, stop pushing and tighten bleed nipple.
Replace top cap.
This will ensure any air in the system is pushed up to the reservoir and escapes.
I bleed my Hopes like that and when the Avid’s need a bleed, I’m likely to do it that way as well – bottom-up…seems to make a lot more sense to my non-engineering brain.