Bedliner works for me, I could care less what it looks like? Herculiner is my choice for the last 1500 hours, it will cover those cuts just like spackle on drywall. I have a lot of high ridge tops I play on that have sharp shale semi embedded and just laying on the ground. Often I see places where they are sticking up at an angle, exactly like the barriers they use to get you to drive the right direction into a parking garage! The very best advice I got on this subject was from Bob Breeden, and it was pretty simple.
Lower your air pressure......and here's the example he used for me: think of a small party balloon, blown up to it's max, take that balloon and jam it up against some rocks and see what happens. Then take that same balloon (well, it'd have to be a different one) and blow it up just enough to stay sort of round, and see the difference in how it will absorb much greater punishment. That is the basic principle, run as low of pressure as you can when playing on sharp rocks, so low it's hard to push out of the hangar. My personal cutoff point low PSI wise is when turning on a side hill, the tire folds in half

OK, that was a bit too low, 2 psi it turned out! But there was no damage done to the tire and the wing tip only got a little scratch. Seriously though, when on a side slope the tires will really slump over from the side loads when at very low pressure, I just plan accordingly. Another obvious thing perhaps, really think through and keep an eagle eye out when getting turned around, I will often kill the engine and hand turn the plane in the worst spots (easy with the S-7, the Bearhawk not so much maybe). Liberal and frequent bed liner applications, I find I need to do mine somewhere between every 75 and 125 hours, low as possible PSI, (and if landing a few thousand feet higher then where departing, go even lower to allow for the atmospheric pressure change) and turning carefully or not all when possible, other then that I don't worry about it and work them like they were meant to be used
BTW, my 29" Airstreaks have a min pressure stamped on the sidewall of 6 PSI, I consider that an upper limit, and spend most of my time at 3.5 to 4, with enough time on the tires now to note any ill effects if any, there are none. I don't have to deal with much asphalt though I'm not sure high pressure is better for that or not, probably, is my guess.