NO ONE EXPECTS YOU TO PUT YOUR PLANE IN JEOPARDY , you are expected to fly as slowly as practicable for your plane in its particular situation.
advise atc of the speed and attempt to maintain it
and if they want you slower, they will give you delay vectors 9assuming radar contact
min speed for my 737 is 280 knots in rough air (below mach levels).
smooth air is min clean for weight
Vref plus 5 configured on final conditions good
vref plus 20 conditions mediocre
so get with it...and you can even ask ATC one day to see their expected speeds and climb rates for particular planes...they all have to memorize what plane can do what.
stop by center and ask for a tour...terrorism may prevent too much, or go to the nearest FSDO office and ask them.