  We examine bounds on accelerated expansion in asymptotic regions of the
moduli space in string theory compactifications to four spacetime dimensions.
While there are conjectures that forbid or constrain accelerated expansion in
such asymptotic regions, potential counter examples have been discussed
recently in the literature. We check whether such counter examples can arise in
explicit string theory constructions, focusing in particular on non-geometric
compactifications of type IIB string theory that have no K\"ahler moduli. We
find no violation of the Strong Asymptotic dS Conjecture and thus provide
support for the absence of accelerated expansion in asymptotic regions of a
barely explored corner of the string landscape. Moreover, working in a
simplified setting, we point out a new mechanism for potentially connecting the
Sharpened Distance Conjecture and the Strong Asymptotic dS Conjecture. If this
argument could be generalized, it would mean that the Sharpened Distance
Conjecture is implied by the Strong Asymptotic dS Conjecture, and that their
exponential factors are naturally related by a factor of 2.
