Biologos only promotes compatibility between science and Christianity – founded by a scientist who became an evangelical Christian.
Beyond that there is a diversity of viewpoints here.
I am not sure what “semi-monism as a view of the human soul” is supposed to even mean.
As for the verse you quote, lets put it back in context…
1 Corinthians 5:1 For we know that if the earthly tent we live in is destroyed, we have a building from God, a house not made with hands, eternal in the heavens. 2 Here indeed we groan, and long to put on our heavenly dwelling, 3 so that by putting it on we may not be found naked. 4 For while we are still in this tent, we sigh with anxiety; not that we would be unclothed, but that we would be further clothed, so that what is mortal may be swallowed up by life. 5 He who has prepared us for this very thing is God, who has given us the Spirit as a guarantee. 6 So we are always of good courage; we know that while we are at home in the body we are away from the Lord, 7 for we walk by faith, not by sight. 8 We are of good courage, and we would rather be away from the body and at home with the Lord. 9 So whether we are at home or away, we make it our aim to please him. 10 For we must all appear before the judgment seat of Christ, so that each one may receive good or evil, according to what he has done in the body.
This seems to be referring to 1 Cor 15, which explains how we have a spiritual body. So if the earthly tent of the physical body is destroyed we have a heavenly dwelling in a spiritual body. And not only is spiritual body so much better when resurrected (imperishable and powerful), but it would mean being with God who is spirit, so of course we would rather be there than here.
So perhaps you can explain where this conflicts with what you think Biologos is promoting.
As for myself, I think the rational soul is a concept of Greek philosophers and other religions and isn’t in the Bible. The word translated as soul in the NT is Greek word psyche which means breath and is also translated as person, mind, or life. I think these work better in the passages where it is used in the NT. For example 1 Thess 5:23 And the God of peace himself sanctify you wholly; and may your spirit and mind and body be preserved entire, without blame at the coming of our Lord Jesus Christ.