The phrase "without too many" is correct and can be used in written English.
For example, you could write "I'd like to have the task finished without too many delays."
He makes his ideas clear without too many details.
Keep it simple without too many frills and furbelows.
This approach allows to quantify the effects of uncertainty on model predictions without too many calculations.
The proposed approach is generally limited to the squeal problems without too many investigated parameters.
Therefore an acceptable accuracy can be reached without too many main memory accesses.
"We wanted ours to be fairly compact, without too many folding bits.
That suggested he was seeking a loan without too many conditions attached.
But the Orioles are a young group without too many franchise faces as of yet.
"This is very simple, without too many compartments, but very functional," he said.
Back in court three, business goes on without too many apparent problems.
They got them without too many alarms before embracing one another in celebration.
