What FD should do to make stars looks as big as they get:
1. Remove the "safety" net around stars and planets. The yellow circle indicator stays, but you are no longer dropped out of SC. You can slam into planets and stars now. Or burn up really quickly. Boom.
2. Lower the maximum fuel scoop altitude so much that you have to fly much closer to the star's surface, but get a lot more fuel for it. Flying through coronal ejections throws fuel scooping into overdrive. More shaking. Chance to lose control of the ship if you overdo it.
3. Allow shield reconfiguration settings in the right hand panel. You can set shields to "Multirole" (as they are now), "Energy Deflection" (protects you against heat and lasers much better, but you might as well not have them if someone hits you with a projectile) and "Mass Deflection" (the opposite)
#1 would serve to allow people to dive really close to the surface of the star, but at their own peril. For those who want to see how big stars can get, you can't do much better than that.
#2 would give incentive to do so. And come on, refuelling at stars should be dangerous! By the way, when are we getting gas giant refuelling, eh FD?
#3 because more options are fun. And because you'd be turned into a crisp otherwise.