I thought I'd chime in.
I'm on my way back currently in my Sidewinder, build here:
https://coriolis.edcd.io/outfit/sid...zwAGAC8NW+aVAAAA.EweloBjEoUwQwOYBtYhARgtoA===
No shield, got an AFMU but I haven't used it. I didn't put exact values for mods, only picked best roll for each - you want the best for FSD, sensors and life support, the rest doesn't matter as long as it gives mass decrease on secondary. The end result for me was 32.88 ly on full tank. Second to last jump you need to make is a bit longer, but with that jump range you can make it without jumponium on half full tank, stars are scoopable so no issues there. I gathered jumponium mats before heading out, used them to make the Deep Space Challenge after reaching Beagle.
Anyway, if you engineer and use jumponium, you can make it with an SRV. Stock Sidey would absolutely need premium jumponium for the last part of the trip, engineered one would need tier 1 or 2... Probably 2. As for the timeframe, it took me one month and nine or ten days, but instead of going straight for the BP I went Sag A* - Colonia - Roncevaux Crossing (link below) - along the arm, so it was some 90-100k ly distance.
https://forums.frontier.co.uk/showt...route-to-Beagle-Point-From-Roncevaux-Crossing
My advice: if you decide to do it, engineer the FSD at least, ditch the shield and mining laser. And when the Voices start to sing, you sing with them. After a while they will let you pick the songs.