The club I'm in has a grass runway so I do not have personal experience with this.
I've heard of putting rubber washers (or really short pieces of fuel tubing) between the wheel and wheel collar to create a braking effect. Of course you have full time brakes even when taking off. If the Big Stik has stock trike gear you'd put the 'brakes' only on the rear wheels. If it's a tail dragger this probably wouldn't work at all.

Could you kill the engine and glide in? That way it would stop sooner.

Can you take off from the pavement and land on the grass without hurting the plane?

Dave Brown sells lightweight wheels. They'd have more aerodynamic drag than the smaller wheels but might not weigh any more. Here's a link to the 3.5 inch version:
http://www2.towerhobbies.com/cgi-bin...?&I=LXB929&P=0

My 60 size trainer called for 3.25" wheels. They looked really small so I used 4".