Unfortunate because people are innocent until proven guilty, so we cannot (US, constitutionally) and should not be making determinations about how easy it should be to assert a constitutional right to legal counsel.
Constitutional rights should be very easy to exercise and very difficult to limit. And in these scenarios, regarding the possibility that criminals might find an easier time getting legal help, you must consider part of the founding philosophy of the US legal system, a portion borrowed from England's William Blackstone: it is better that 10 guilty persons escape, than that 1 innocent suffer.
Or, as codified by precedent from the US Supreme Court some time later in 1895, "it is better to let the crime of a guilty person go unpunished than to condemn the innocent".
To make it harder to get a lawyer because the person might be guilty... or having police or prosecutors make their own individual determinations on that difficulty based on their own subjective belief in the suspect's probability of guilt... Those are antithetical to the principals that founded the US legal system, and antithetical to the rule of law superceding the rule of men.
So there does not need to be a balance, at least not beyond the constitution and corresponding precedent-based legal doctrine. The entire point is that it should be very difficult to strip away a person's freedom. The job of police is not supposed to be easy. If a suspect that has not been found guilty wants the benefit of legal counsel then they are entitled to it. The job of police should not be made easier at the cost of losing fundamental rights.