As you comment chitosan is soluble only at acidic pHs. I do not know if it is an option for you... but maybe you can try to chemically modify chitosan to obtain carboxymethyl chitosan or lactate chitosan (https://doi.org/10.1016/j.msec.2020.111716). These two polymers are soluble at neutral pHs and are biocompatible. We use them in our biomaterials group because of their excellent properties.
I think that the answer provided by Daniel can help you to obtain a chitosan-derivatives soluble under physiological conditions with pH higher than 6. However, you need to control the substitution degree to not impairs the biological properties found in raw chitosan. In addition, changing the degree of deacetylation and/or the molecular weight of chitosan can be an alternative. See this paperArticle Effect of degree of deacetylation on solubility of low molec...