So, here's your math.
A model 3 gets about 250 W-hr per mile.
The Bog-Standard Tesla Mobile Connector (which you have to buy.. maybe) when, plugged into a 120 VAC socket, will give you 12A. (If you have a 20A circuit, common for garages, you can tell because in the socket one of the "blade" receptacles has an option for a horizontal blade), you can get the right adapter for the TMC so you can run 16A, instead.
12A @ 120 VAC = 1440 Watts.
So, 1440 Watts/(250 W-hr/mile) = 5.76 Miles of Charge per Hour.
If you have a 20A socket in the garage (true for new construction these days), you can use the funky adapter with the right-angle blade and get 16A instead. That would be 16A @ 120 VAC = 1.92 kW
So, 1920W/(250 W-hr/mile) = 7.68 Miles of Charge Per Hour.
This is true when the ambient is above 60F or so; much colder than that, and much of the power goes into heating the battery, rather than charging the car. If it gets down to 0F in the garage, the car won't actually charge much.
FWIW, my 2018 M3 LR (75 kW-hr battery) actually does charge at 5 or 6 MpH when hooked up to a L1 socket.
It also charges at 45 Miles per Hour when hooked to a Tesla Wall Connector, which supplies 48A at 240 VAC. That 11.52 kW, so the charge rate is:
11.52 kW/(250 W-hr/mile) = 46 Miles per Hour charge rate. And, at that 11.52 kW, the battery gets warmed up pretty fast, so the initial charge rate might be somewhat slower, but it gets to that 46 M/hr rate pretty fast.
Finally: In New Jersey and Maryland, there are state subsidies to expand electrical panels for the purpose of charging electric cars. (I live in NJ, and therefore saw it in the newspaper; I checked Maryland for another poster on TMC and, wowzers, they got it, too.) Virginia is one of those semi-progressive states, so you might want to see if that $15k might be possibly reimbursable.