In terms of the OP I don't think such arguments exist.
They clearly do (in fact, one mentioned still holds an dates from the scholastic period). It's just whether or not they are any good. For example, the various proofs of god do not depend upon any gaps, they depend upon assumptions of various sorts that I find both unconvincing and meaningless. Nonetheless, they are arguments for god that do not depend upon gaps.
Apart from medieval/early modern "proofs" and any of their modern variants, we have:
1) NDEs (for a review that doesn't take much of a position rather than describe various ones, see
Engmann, B. (2014).
Near-death Experiences: Heavenly Insight Or Human Illusion?. Springer.)
2) Certain anthropic cosmologies and their corresponding fine-tuning/design arguments (this is not to be confused with the argument that evolutionary theory can't explain the complexity of life, or that the origin of life requires god, etc.; such arguments are god in the gaps arguments). An interesting back-and-forth volume of arguments that include this type of argument along with the design arguments that
are god-in-the-gaps type as well as counters to both may be found in
Manson, N. A. (Ed.). (2003).
God and design: The teleological argument and modern science. Routledge.
Barrow & Tipler's
The Cosmological Anthropic Principle is outdated, but nothing I know of exists that is an equivalent but up-to-date survey. There are certainly detailed cosmologies that are theistic, including e.g.,
Amoroso, R., & Rauscher, E. (2009).
The Holographic Anthropic Multiverse: Formalizing the Complex Geometry of Reality (
Series on Knots and Everything). World Scientific.
A weird volume from the
Cambridge Astrobiology series that touches on both god-in-the-gaps design-type arguments and those that don't rely on gaps whilst simultaneously covering purely scientific research that has no bearing on religion whatsoever, there's
Barrow, J. D., Morris, S. C., Freeland, S. J., & Harper Jr, C. L. (Eds.). (2008).
Fitness of the Cosmos for Life: Biochemistry and Fine-Tuning (
Cambridge Astrobiology). Cambridge University Press.
Both of the following volumes contain fine-tuning/design arguments:
Clayton, P., & Davies, P. C. W. (Eds.) (2006).
The Re-Emergence of Emergence: The Emergentist Hypothesis from Science to Religion. Oxford University Press.
Gregersen, N. H. (Ed.). (2003).
From Complexity to Life: On the Emergence of Life and Meaning. Oxford University Press.
3) The argument from consciousness. Depending on how this one is made, it can be either a gaps argument or not. Unsurprisingly, I haven't come across many good works, still less good books, but one decent enough treatment can be found in
Moreland, J. P. (2008).
Consciousness and the existence of God: A theistic argument. Routledge.
4) Experiences of God apart from NDEs
An interesting (sort of) work that brings us from 3 to 4 is
Beauregard, M., & O’Leary, D. (2007).
The Spiritual Brain: A Neuroscientist’s Case for the Existence of the Soul. HarperCollins.
For a review of more classical arguments and older versions of some of the above (and covering some of the above) see e.g.,
Mackie, J. L. (1982).
The Miracle of Theism: Arguments For and Against the Existence of God. Clarendon.