Very valid points.
I don’t think Kane will go to Bayern or Madrid. I think Real will try to get Mbappe again, so not a lot of money left for Kane I think. Bayern already have a couple of good attackers, although I think Kane is better than them I don’t think they want to spend a lot for Kane. I think Nagelsmann will want to built a new team with younger players.
Could Abrahams be an option for us? He’s gotten a lot better in Italy. And maybe it’s a opportunity to improve our British core of the team a bit. I always thought the really strong teams had a core of nationality from their own contry. Like Ajax in the 90’s, Man Utd in the 90’s, Barcelona in the 00’s, Bayern in the 10’s and Juve in the 10’s. Probably others and you good probably name a lot of teams who didn’t have that, but I always thought the teams that dominated for a longer period had a core of more players from their own country with some extra special talents from abroad.
Abraham just seems like bad value for money. 3 years left on his deal. I think he's a 40M player who would cost 60+
Some english players I could see us going for:
Maddison - If Sancho left, it would work, and I have no idea what Ten Hag thinks of him long term. Might look tempting to sell if Newcastle or Villa offer 50M for him and you can't rule that out anymore. We'd have Rashford out left backed up by Garnacho and Maddison. Bruno backed up by Maddison and since Bruno is Antony's backup (Amad on loan or he's the 6th guy for these 3 spots) you'd get time for Maddison as a 10. Whenever I see him now, he reminds me of Wesley Sneijder. Great playmaker, not much of a dribbler, but just oozing creativity. Also only really makes sense if we buy Casemiro an actual backup and our #8s are Eriksen and a new player, or Eriksen and Sabitzer or Fred, with the backup to Casemiro also an option as a #8 type, like De Jong (he'd start clearly), Rice, Caicedo or a guy like that who's not hopeless going forward but also can sit as a DM.
Toney - Gambling issues are a huge unknown, but if we can't sign a top striker, getting him and a quicker #9 and having them compete/rotate makes sense.
Livramento - Some Chelsea clause stuff still I think, but pre-injury he looked a great RB option for us, not dissimilar from Mazroaui as a rangy, vertical ball carrier to underlap and overlap on Antony's side.
Kyle Walker-Peters or Lamptey - KWP hates defending and Lamptey just isn't up to it, but if Ten Hag goes for Timber, can't/doesn't get Frimpong and sells Wan-Bissaka, then a purely attacking option makes sense to come on in 2nd halves and play against weaker teams, and they have skill (KWP) and pace (Lamptey) but Leverkusen fans and the stats say Frimpong has both, and he's Dutch and linked to us, so that one is my guess. I could see us still buying Timber to be a backup RCB/DM and defensive option at RB if we did sign Frimpong, since if Ten Hag thinks he can back up Casemiro, we only need to sell McTominay and sign a #8 in midfield (and choose between buying Sabitzer for 20M or selling Fred for a similar amount, screams Serie A signing) and we're set.
Realistically, though, it's probably Toney (wouldn't be shocked if say Madrid let Benzema go and buy Ramos with the idea of starting him until Endrick is ready then having them compete, and odds are against us actually getting Osimhen, Kane or Vlahovic, and Ten Hag might consider Martial a busted flush and want 2 40M strikers instead of 1 guy he's not sure about, so say Toney + David or Gouiri or another quicker young #9) or a youth signing in terms of English players this summer.