In this scenario the US-French relationship is too high. The US will accept an alliance offer every time. The US in 1795 had no interest in European entanglements and was in no mood to tangle with the British again.
Either make the relationship worse or even better create a fictional alliance for the US so that it doesn't join in.
Either make the relationship worse or even better create a fictional alliance for the US so that it doesn't join in.