I am late to this party, but, the thing that occurred to me is that no one has asked you to define "exploration".
What do you want to get out of your trips? The game has changed fairly radically since the "Great Expedition" era. A lot of what made Beagle Point alluring in its time is passe these days.
Engineering can help a lot for someone that is not using a Fleet Carrier (5 Gigabucks or more of investment), but, even the most optimaxed Anaconda cannot match an FC's jump range.
That said, you can get a Dolphin on the cheap (just under 12.5 MCr) that has decent range, runs cool, will take you anywhere that is not fringe territory (extreme high/low, galactic fringe, areas of stellar scarcity) and can take a standard explorer loadout. The attached build is almost capable of running Route 33 out to Beagle with a full tank without enhancement and is completely unengineered. Drop the SRV hangar, or add the Guardian Booster, and it surpasses the 33 requirement.
It Does employ some advanced Power/Priority management techniques, and the AFMUs are to occupy otherwise empty slots in case of accidents. Empty slots don't absorb damage.
A ship builder, outfitting and comparison tool for Elite Dangerous
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It really depends on what you what to accomplish.