Light aircraft pilot reported flying too close to tower obstacles in an effort to stay clear of restricted airspace.

Narrative

Leaving the greater Phoenix Area westbound from ZZZ; I planned to initially fly ZZZ - Pinnacle Peak - BANYO with a continuous climb; to avoid the SDL as well as the DVT Class D's; while staying under the PHX Class B airspace. Flying northbound; southwesterly winds aloft kept pushing me eastbound; requiring a crab. Nearing the SDL Class D; maneuvering between the Class D boundary to the west and the higher terrain of the McDowell mountains to the east; I increased my climb to get to above 4;500 ft. In that slow; nose high attitude; the airplane drifted more to the east than I had anticipated; bringing me closer to the terrain. I noticed a set of antennas to my east on top of a mountain from the periphery of my eye that were coming closer and immediately offset my course to the west and further increased the climb rate. While I had both lateral and vertical clearance of these towers; I nevertheless got closer to the obstacle than desired. Since they are not shown on the VFR sectional as obstacles on top of a peak; I was not actively scanning for them. Yet this experience was certainly a reminder to myself (and hopefully to others who read this) that one has to stay ever so vigilant of drift and potential obstacles when having to maneuver VFR between airspace and terrain; especially unfamiliar terrain. I will certainly increase my scan rate on future similar flights between airspace; terrain; altitude; turbulence and potential obstacles to ensure I can identify potential hazards earlier and keep a much greater distance.