The main shul option is Kesher Israel in Georgetown (was just there last night - the cherry blossoms are stunning!). They are still very strict about Covid though, and you can only daven there if you're vaxxed (including kids).
Embassy Suites is an easy 10-15 minute walk and reasonably priced for all-suite rooms. It's also bookable with Hilton points, I believe 60k a night.
There are also 2 Residence Inns roughly the same distance from shul, one in Foggy Bottom and one in Dupont Circle. They should be 35k per night (if you book this week before rates change), which means you can use 35k certs, and they are also all suites and include full-size refrigerator/freezers. The reviews aren't as good as for ES, but they should be find for a short Chol Hamoed stay.
Also bear in mind that parking at all these places is a fortune, but you can usually find something nearby on Spothero for half the price, albeit without in-out privileges.