However, many other airliners have undergone stall tests, without the installation of devices such as spin recovery chutes
Guess it depends what you mean by "airliners" but it's certainly our practice (Bombardier) to conduct all initial stall tests (at a minimum) with a recovery chute system installed and operational. It's more a concern regarding deep stall potential of the T-tail configuration than a concern for spinning, though.
In terms of ensuring you don't inadvertently spin, the usual considerations of building up towards the stall (to enable any anomalies in lat/dir characteristics to hopefully be spotted), and ensuring the stalls are pretty much 'straight', would be general advice.