Recommendation for "portable" jack for tire change

Using a combination of the 4@2X6 wood sections and 12" worth of stabilizer pads, build a short ramp to roll the flat tire up onto. Save at least one or two pads or pieces of 2X6 for the bottle jack if needed. You should now have plenty of room to place your bottle jack underneath. I use a 12ton bottle jack that has a 6X6 inch base for 36 square inches of footprint (I would not mess around with a 2ton jack). It is 9" tall compressed. Doing the math, you have 3" of clearance, 18" of pad/2x6 lift capacity. Yah, you get the point.

I also carry a jack stand and would use the trailer stabilizers for added safety.

Agreed. I have never been a big fan of the scissor jack for use on the road, however, in a shop setting they can be quite handy when you have a solid surface to work. We used them quite a bit in my motorcycle shop. We had a couple that we modified a high grade bolt to fit where hooked handle would go. Then we could use a drill driver with a socket to raise the jack. Very effect for removing rear wheels from motorcycles and as well as changing tires on ATVs.