OK, so if you arrive Tuesday evening, I would stay offsite first.
Wake up Wednesday morning and go to either park with your tickets (Wed is currently EMH @ DCA for onsite guests only)...you'd get into either park at normal operating hours.
Thursday, use your
MM on your hopper ticket for early entry to DL
Friday go to the parks @ normal operating hours.
Saturday morning,
check in super early to DLH, and go to EMH for DL that day....you can go back to your offsite hotel after EMH and before check out time (probably 11 am) to move your luggage to DLH...saves you time in the early AM...just go check in first so you take advantage of EMH that day!
Use
EMH for DCA on
Sunday. Go back to DLH before check out time, check out and have them store your luggage until you leave.