GA pilot reported during takeoff roll; an aircraft on short final initiated a go around resulting in a NMAC.

Narrative

I was taking a Grumman Cougar; AA5; to ZZZ1 Airport for a 100hr inspection. I completed all preflight inspections and then got in the airplane and performed all checklist items. I then continued setting the airplane up for my flight. Lastly; I got the weather and then made my call and taxied to Runway X run-up area at ZZZ. I performed my run-up and continued ensuring that my radios and navigation were set correctly. After this I made a call to taxi to the hold short line for [Runway] X and taxied the plane. During my taxi; I heard one airplane on the frequency; which was on a practice approach for Runway XX; and scanned the downwind as this is a training airport and often has people not making radio calls. Upon reaching the hold short; I scanned final and the base and downwind legs again. As I didn't see any airplanes; and the traffic on an instrument approach (which was going to broken off to land Runway X) was far enough out I decided to depart Runway X. I made my call and taxied on to the runway. As I rolled straight out on to the runway and applied power; an aircraft on final announced they were there and seemed frustrated with me. By the time the aircraft called a go around I was rotating and in the air. As the aircraft was much faster and a better performing plane; I ensured I got the other aircraft in sight before making any turns. However; the other pilot involved was extremely aggressive and seemingly maneuvered his plane in a way that did not promote safety. I would say that the aircraft was within 150 ft of my aircraft. The base and final leg at ZZZ is very obscured due to a tree off the end of the runway. The base to leg for Runway X is also very obscured due to a mountain that completely shields an airplane from view when looking from the ground. As a result of these obscurations and limited radio calls; I did not see an airplane coming in for landing.