I have been in my present home for about fifteen years. There are lots of trees and moderate space, hemmed in by power lines, telephone and cable tv drop wires and other obstructions. Early antennas here were suspended from tree limbs or short masts. The current system evolved over time and has been very successful, though not exactly text book.
The most successful have been the variants on vertical antennas or inverted L's. The idea being to get the lowest angle of radiation or reception possible. Ground radials for the verticals have been made difficult by very rocky soil and tree roots close to the ground. After several years of running over radials with the lawn mower, it was decided to attempt elevated radials or ground plane antennas. The try, though brought about by mechanical needs, turned out to be very satisfactory, as the antennas performed very well, even with fewer radials, even outperforming my thirty-three foot high ground mounted vertical with sixty buried radials beneath it.
Here are the antennas that have resulted in the best DX at this location, both for amateur and SWL DX. All are fed with either RG8X or RG8 coaxial cable. Most are resonant on one band, but tunedto match on any frequency with either a Heathkit roller coil tuner or a Dentron Super Super tuner. I know there are all kinds of reasons why force tuning antennas is not optimum, but all I can say it has worked well enough for me to but 326 countries into the log. I will leave the arguments to the theorists!