if you are looking into doing this in an Asp - I'd almost recommend scrapping the shield as well. However, landings will take their toll on your ship. Even if you are gentle, expect to take some damage with the low power thrusters you likely have. If you do want to get the good Jumponium on the route - you must have a SRV. You can not collect the resources with your ship. Also - I found most of my 25% jumponium in Pristine Metallic rings - not on planets. The rare stuff you need for the 50% and 100% boosts are only on planets... and very few at that. Finding it without the benefit of having a news article listing its location will be very hit or miss.
I went to Sag A* and back in a DBE with no shield, no AFMU and no SRV (was pre-horizons.) It only had a 24LY jump range. After falling asleep during several jumps my canopy was cracked badly but I made it back to the bubble with ~70% hull. My experience with the Asp E makes me think its more durable (though nowhere near as good with heat management) than the DBE. If you are looking at stuffing the best things into an Asp build, can I suggest:
link hiddenDisable cargo hatch to save power.
Disable AFMU until its needed. Whatever you repair with it will need to be disabled to be repaired.
Disable shield when using AFMU if more power needed or not landing/in bubble.
Power management is fun! Yes I fly combat in a Vulture

Also, be aware that a build this low power will NOT HAVE BOOST!