The fact that Jesus was accepted as a traveling guest synagogue preacher, is also indirect evidence that Jesus was considered relatively good looking in that time and place.
There were several traditional things that a traveling guest synagogue preacher was expected to do as part of a sabbath service, including reading from that day’s portion of the prophets (someone else would read from the Law earlier in the service), delivering a lesson from that day’s portion, and then sitting down in the “teaching seat” afterward for a Q&A session with the audience. But there were two informal rules which a guest preacher filling this role was totally expected to follow:
1.) He had to be attractive to the audience. This meant at least that the audience couldn’t be distracted into rejecting his message by being repulsed by his appearance, although being positively admirable in looks was better because that helped people fulfill the injunction that they ought to rush to the synagogue to hear a message there. No preacher would get a career going without this.
2.) Under no circumstances could he criticize the nation of Israel! The concept here was that the synagogue system had been instituted back during the Babylon captivity for the purpose of consoling Israel, and in Jesus’ day they still considered themselves captive in their own land, thanks to Greek and then Roman Imperial overlords. This was a major motivation behind upgrading the Temple to something beyond Solomon’s day, as well as in being very picky about trying to avoid violating Torah so that God would be impressed enough with their faithfulness to save them from captivity in a new Exodus within their own land (and back from the Diaspora elsewhere to Israel.)
These unwritten traditions were still in force later when a teacher famously complained (passed down into the Talmud) that of course God stopped sending prophets back around the time the synagogue system had been developed: what true prophet had ever not criticized the nation of Israel!? No real prophet could work under these conditions–they were too shallow!
These traditions can also be seen shaping the incident of Jesus preaching at Nazareth in GosLuke 4:14ff. Jesus finishes (Luke skips over the the actual lesson or maybe Jesus skips straight to the QA session) and sits down inviting a discussion over what He had just read and claimed. But the people there are only complimenting themselves about how good a job Jesus their hometown boy is doing!–which Jesus realizes is going to lead to the complaint that He started His circuit ministry elsewhere (in Capernaum, and in Jerusalem) instead of here in His home town. (Thus His reference to a proverb, still recorded in the Talmud, with the moral “physician heal thyself” i.e. “charity starts at home”, which He expected them to start quoting at Him!)
Jesus insults Rule #2 by telling them that Israel wasn’t inherently more worth saving than a pagan woman from the Tyre/Sidon area, or worse a pagan raider commander from Syria!! (And gets mobbed out of town as a result.)
But He apparently passed Rule #1 with flying colors.
So, no, during His ministry the cultural evidence indicates He wasn’t ugly and was probably considered quite handsome by local standards. (The Samaritan woman at the well in GosJohn is flirting pretty heavily with Him, too, at first. )