I think it is fair to say it's a roll of the dice (what the odds are is a ?). Wait and you may get lucky to get a reduced price. Weather could also hamper some spirits on going to the game and you could pick up some tickets last minute (it is an open air stadium, Santa Clara weather in February as the sun goes down can be nippy...which is not even counting that this is an El Nino year and it could be wet). On the flip side, it's certainly a nice new stadium and there is plenty of companies and people who have money to spend on the rarity of SB tickets. That can't help...
In terms of the Bay Area? I lived there for many years so, in case you have never visited, here is some info (obviously plenty to do and can be found in a tourist book). Fyi, if you are staying close to the stadium there isn't much directly around the stadium (the adjacent amusement park is closed during Winter months -- unless that has changed with the stadium being built).
If you gamble and miss the SB, both the Sharks and the Warriors are good teams that have decent venues to see a game. Certainly cost A LOT less for good seats.
Provided weather cooperates, noted and good places outside SF to walk around for dinner, drinks, coffee etc: Santana Row in SJ (big/nice mall directly across from there) and Jack London Square in Oakland.
If you're looking for a few nice views/picture moments: try driving up twin peaks in SF for a killer elevated view of the city if fog allows. Haven't done that drive in many years but I assume it still is there accessible to the public. Also, hot the west/coast side of SF for a beach at sunset view. If you don't mind a bit of a drive southward, an hour and a half to two hours there is Monterey's views and cannery row.
If it has been multiple loooong days of getting around, it you just want to get out of the hotel but keep it really low key and expend little effort/expense, a lot of people don't know San Jose has a 6 screen drive in movies inside the city limits (15 mins south of downtown SJ). You can grab some take out and a hit a drive in movie with your SO. I liked a pizza/italian place about 20 mins from the moves called Tony and Alba's.
There are some interesting mountain see views of the bay: skyline blvd or up Mt Hamilton Rd (Mt Hamilton observatory does star gazing through the big telescope on certain dates. It is a windy mountain drive, fyi).
Indoors stuff too in case of weather are some good science museums: Academy of Sciences in SF, Tech Museum in SJ, and a small not overly impressive one that I still liked that is hidden away in the hills of Oakland, Chabot Space And Science Museum (if it is till open hit the hole on the wall burger joint near the bottom of the hill first. Back in the day it was a killer burger).
BART has a station stop at a nice mall in/near downtown SF.
If you like Wine, Napa/St Helena/Calistoga (as everyone probably knows) is one of the center's of the world for wine. Wine-dinner train around the napa valley i hear is nice for a couple (though never got aroudn to it). Also, if the SO or you & the SO like the natural spa thing, that area has the mineral water and natural mud spring places (I believe thanks to the volcanic activity of the past).
For a day excursion alternate to the one hour northward to Napa, eastward-ish of SF for 3 hours drive is Yosemite. This time of year and with recent rains it should be serious waterfall views.
A note for SF. If you are doing a day in the downtown/pier area of SF? find a good located parking garage/lot then get a transit pass to get around. It isn't economic to park, drive and re-park (parking costs are often very high in SF - and they hit you with the lion's share of cost for the first handful of hours)) not to mention the time and effort it expends. SF has transit go almost everywhere in the general downtown area. If going specifically to Pier 32, the specific pier parking garage (at least back in the day) would validate 2 hours if you eat at one of their listed establishments on the pier. Some are half way decent seafood though probably a bit more $$$ than some that are away from the pier.
Hope that helps when you get there, have a great SB week....