I have an RV6A with a stock O-360-nothing with a wood fixed pitch prop. No kidding, the engine has no suffix as it is one of the originals. As such, it is the 150 HP version. You will have no trouble out of that strip if the airplane is flown properly even loaded with your wife (and all of the ground support equipment that usually entails) as long as you do not load in excess of max gross weight.
If you view Van's video you will see the airplanes can be flown from fields well under 1000' if the approaches are clear. The plane should take off in 600' or so. You may want to consider calculating the actual usable length of your field given the height and distance of the trees to the end of the runway.
You will get dramatically better performance with a constant speed an I would highly recommend this if it is an option. The real reason is that there is no compromise in performance other than the significant increase in weight over a light wood or composite fixed pitch. You have heard fixed pitch props described as climb or cruise props. This is because they are optimized for one regime or the other. A constant speed will do both. The engine will develop full rated power on takeoff since it will automatically adjust blade angle to allow the engine to turn the 2700 RPM required to make rated power. No fixed pitch will turn up to 2700 RPM on takeoff so you are actually making significantly less than rated power. If you have the low pitch of a climb prop, the plane will have better takeoff performance than a cruise prop but still far less than a constant speed. As a bonus, the CS will help in the landing phase as well since when power is reduced, the blade pitch goes flat which will provide a very nice decelleration feature.
A CS will be more weight and money but will yield much better takeoff and cruise performance.