Intellectual assent and personal experience with regard to the 'personhood' of the Holy Spirit are strange ways to attempt to get Trinitarians responding. Perhaps that's why you have received lots of brief comments but (until now, two full months later) no actual answer. As a believer in the triune nature of the one God, I see your question as showing a failure to understand what the trinity doctrine is all about.
It is a naive to suppose that one way of believing in the personhood of the Holy Spirit can be used instead of another way, and that that will be sufficient. Both ways are combined. God does not reveal anything about his person (which is triune) according to our preference: "Oh God, I'm not an intellectual, and trying to collate all those scriptures just gives me a headache. I would rather have an experience of the person of the Holy Spirit. That will do me!"
Or, if we say to God, "I'm highly suspicious of all those experiences emotional people keep relating. I want to know intellectually that the Holy Spirit is a person. Please keep this grounded in facts that I can assent to" - would that not also be arrogance on our part?
Who are we to tell God that we want one way of verification instead of another?
The Bible is clear that if we do not believe what God has told us, we will get no further in any pursuit of God. Belief is a matter of faith in God's trustworthiness - that it is impossible for God to lie - that all his promises are true. God has told us plenty about the Holy Spirit. Those who obediently believe what God has told them experience the power of the Holy Spirit in their lives.
Yet such is God's grace, that he has also bestowed the agency of the Holy Spirit to change the lives and beliefs of those who know hardly anything about God and Christ. Thereafter, they come to learn about this triune God. It is God's prerogative for us to learn, and to have verified to us, whatsoever he pleases.
In order to be converted to saving faith in Christ, the Holy Spirit guided me to search the scriptures first. I totally disbelieved the trinity doctrine, or even that the Holy Spirit was a person, but I had cried out to God for help. In answer, he caused events to unfold in such a way that I was led to a gradual understanding which caused a reversal of my stance. Thus my conversion to Christ was actually based upon coming to 'see' and believe in the orthodoxly Christian doctrine of the trinity. That included learning about and believing in the Holy Spirit in light of what had been revealed to me about the person of Christ. Once I bent my knees in Jesus' name, the rest followed - a mixture of further intellectual understanding combined with experiencing the Holy Spirit at work in my life.
Really and truly, those who think they should be the arbiters of what is intellectually correct (with regard to God) and/or who think they ought to have personal experiences of the Holy Spirit's personhood are on a hiding to nowhere (spiritually speaking). They will be left none the wiser. Humility in approaching God - admitting we can't see further than the end of our [spiritual] nose - and diligently searching the scriptures to be taught by the Holy Spirit has to be the starting point. Thereafter, God may be pleased to so lead each individual as they need to be led, for God deals with us all as individuals. But if you start out with your measure of what will be either intellectual or experiential standards God has to meet before you will be convinced, that would be to insult God, Christ, and the blessed Holy Spirit.
Let this scripture be the final word on the matter:
"If any of you lacks wisdom, he should ask God, who gives generously
to all without finding fault, and it will be given to him. But when he
asks, he must believe and not doubt, because he who doubts is like a
wave of the sea, blown and tossed by the wind. That man should not
think he will receive anything from the Lord; he is a double-minded
man, unstable in all he does" (James 1:5-8).