I think that Jesus very probably did exist, and I base this upon the Gospel of Mark, which, when its evangelical exaggeration is thinned out does give the best reports, and may be based upon the memoirs of Cephas.
Josephus's entries help to support a historic Jesus. But I am in doubt about which Jesus was executed on Pilate's orders. Two Jesus's got into trouble in Jerusalem that week, one for killing during a riot, the other for demonstrating and picketing in the Temple Courts. Both were arrested, tried, convicted and sentenced to Death. Pilate's wife clearly warned him about one Jesus, and he clearly felt empathy for that same one.
It is said that he pardoned one, and I am very interested in the report that he had the other condemned one whipped bloody, and deliberately had his features smothered in blood from a thorn-crown. He may have executed the Jesus (Barabbas) that he appeared to pardon.
This would then fit with other reports of a Jesus travelling to Galilee soon after the incidents, a Jesus travelling to Kashmir, etc etc.
It could also fit with some members differing ideas about what Jesus was like. and NT reports show one Jesus who wanted his followers to arm themselves, another who could well have been a 'heal for meal wanderer, etc.
I like the fact that you have asked us NOT to mimic and sheepishly follow 'the scholars', because their opinions do differ over many aspects of HJ.