1959 Kay K6437 loose neck joint

So... I got an old Kay K6437 archtop for free. I don't want to do a neck reset. There is separation where the heel meets the body, but when I pull the headstock back, it fits perfectly, the action is great... So - do I need to steam off the neck (probably the best solution, but I've never done it/have no tools/don't want to pay $500.00 for a full neck reset), or, could I glue and clamp down the separated area to make the neck stable again? I've looked inside - no damage to the block I can see... I know it's a quick fix, but I think the glue just dried and separation occurred. With the strings off, the neck (no truss rod) is straight - I used a level, for "concurrence". Could I get lucky gluing the heel back to the body, clamping it all down for a while, and having the action perfect - albeit a poor-man's fix?



Thanks in advance (funny, not much on this type of topic on any guitar forums, nor on Youtube).