About your bet
Presumably, if you are right either way, you go to heaven – or at least not to hell?
If your true position is that you are not sure, then the bet would not bring out your true position, but hide it.
This is a version of Pascal’s wager, and one of the objections to that is that one cannot believe something because of this kind of consequence which is not relevant to the truth of the belief in God. The best we could do is to pretend to believe. So the answer to your question in this case is No.
However, Pascal also argues that if one acts as if one believes, one will end up believing. Whether that’s a process that God would find acceptable, I do not presume to say. On this, see Pascal’s Pensées Section III note 233, or Pascal’s Wager (Stanford Encyclopedia of Philosophy)
For myself, I’m not sure that I can imagine heaven or hell, any more than I can imagine God, so such a bet would be meaningless for me. Other people may have more flexible imaginations.
Turning a decision under uncertainty into a bet
It is comparatively seldom that philosophical argument is conclusive and then we have to weigh arguments against each other in order to come to a conclusion. But this process should not take account of irrelevant factors, and, normally, a bet will be irrelevant to the truth or plausibility of a philosophical position.
In some cases, a consequence may be entirely relevant. For example, it is often urged that denying free will undermines the concept of moral responsibility and that this is unthinkable. Even here, one might decide that the consequence is not relevant to the correctness of the denial.
Bias caused by emotions
You are right that none of us is an unemotional calculating machine, although even those are not exempt from bias – but that’s another issue.
However, not all emotions are bias. Enthusiasm for the pursuit of truth, for example, is not a bias in philosophy but a requirement. Indeed, without the emotion that is aroused by the values that inform philosophy, the reflection and debate that it requires is most unlikely to take place.
Working out a position on philosophical questions
That is indeed what it’s all about.
And, of course, your strategy here is also a position, and therefore liable to the same forms of bias that you are trying to escape.
All we can do is to be aware of the problem and our own individual emotional biases and try to compensate for them. I recommend dialogue with other people as a good way of doing this.