"with queries" is correct and usable in written English.
You can use it to refer to a situation where questions or doubts have been raised. For example, "The proposed plan was met with queries from the board."
If you don't answer almost immediately, they bombard you with queries.
He also says there are issues surrounding dealing with queries in foreign languages.
The party won with an absolute majority and I was bombarded with queries.
She says the department encourages publishers to approach them with queries.
At the same time they would be dealing with queries about the iteration currently in flight.
She juggled questions about banking regulations with queries about her gift registry.
He besieges this self with queries and accusations that seldom elicit a response.
Unlike the slower paper-based courses, email access means tutors and fellow students can help quickly with queries.
Internet forums and advice columns teem with queries from spouses who feel widowed by their partner's relationship with weed.
Following his outlining of his case, he was inundated with queries and objections for the best part of three hours.
Initially cheery and apparently light-hearted, with queries about who had won the World Cup, they soon deteriorated.
