Between groceries and online shopping, excluding gas, I'd say between 1K to 2K, with $500 (considering the 6K annual cap) on groceries reached quite easily.
EDP has grossly high CL for my spend on groceries. I don't "need" it that desperately, but I certainly don't want a CLD/AA/closure either.
2+% cards? I have a psudo-2% card in Apple Card. I was searching around the forums about these 2+% cards to see what are out there. If I were to get one, it needs to be No-AF, No-FTF. Alliant and PenFed seem to have one of these, but I am reading a lot of negativity with these CUs.
Maybe transfer half your CL from EDP to BCE so your BCE utilization stays low. I wouldn't close it, and I'd keep more than $1k on ED/EDP since you might get a good spend or re-upgrade offer on EDP. Keep a few thousand there and use it once every six months or so.
FWIW, I'm not one to fret about the possibility of getting a CLD on a card getting little or no spend. Even with my credit staying healthy, the broader economy and lender risk appetites change. If it happens, it happens. Getting a new account with a big SUB is easy enough.