Honestly, if you're exploring to make money and rank up (or just to see cool sights), there's not a lot of difference between a ship with a 20 ly jump range and a ship with a 50 ly jump range. You make money/scan data/see sights on a per-jump basis, not a per-light-year basis, so go with an affordable cheap ship that you like to fly and just enjoy yourself.
Don't get me wrong, I love having a long range exploration ship. It lets me travel long distances faster, and gives me more options for getting out into very sparse areas. But probably 90% of the explorable galaxy is open to ships of 20 ly range, so a cheaper ship gives you great bang for your buck, especially starting out.
Here's a variant Cobra Mk III I used pre-Horizons. I flew about 25 kly with it and made enough money to buy and fit an a-rated AspX, but I'd be perfectly happy continuing to fly it, too, with minor modifications. It's got a 25 ly range without any engineering mods, carries an SRV, has boost and good shields so it's forgiving in landings, and an a-rated power plant for good heat dissipation. Best of all, it's under 5 million credits.
If you like the Cobra (and I do), you can engineer the FSD and get a sizable increase in range, if that's your thing. A good grade 5 modification will push your jump range up above 35 light years, which is a greater range than I had on the ship I took to Beagle Point and the Treehouse. Without adding anything to the cost of the ship.